1940003265600 has 945 divisors, whose sum is σ = 7368975297453. Its totient is φ = 500620124160.

The previous prime is 1940003265553. The next prime is 1940003265611. The reversal of 1940003265600 is 65623000491.

It is a happy number.

The square root of 1940003265600 is 1392840.

It is a perfect power (a square), and thus also a powerful number.

1940003265600 is a `hidden beast` number, since 1 + 9 + 40 + 0 + 0 + 3 + 2 + 6 + 5 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 674540260416 + 1265463005184 = 821304^2 + 1124928^2 .

It is a super-2 number, since 2×1940003265600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 26575387164 + ... + 26575387236.

Almost surely, 2^{1940003265600} is an apocalyptic number.

1940003265600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1940003265600 is the 1392840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940003265600

1940003265600 is an abundant number, since it is smaller than the sum of its proper divisors (5428972031853).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1940003265600 is an frugal number, since it uses more digits than its factorization.

1940003265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 1940003265600 by its sum of digits (36), we get a square (69840117561600 = 8357040²).

1940003265600 divided by its sum of digits (36) gives a square (53888979600 = 232140²).

It can be divided in two parts, 194000 and 3265600, that added together give a square (3459600 = 1860²).

The spelling of 1940003265600 in words is "one trillion, nine hundred forty billion, three million, two hundred sixty-five thousand, six hundred".