2140486041600 has 765 divisors, whose sum is σ = 7992710497497. Its totient is φ = 566301818880.

The previous prime is 2140486041559. The next prime is 2140486041601. The reversal of 2140486041600 is 61406840412.

It is a happy number.

The square root of 2140486041600 is 1463040.

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

2140486041600 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 4 + 8 + 6 + 0 + 41 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 770574974976 + 1369911066624 = 877824^2 + 1170432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2140486041601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16854220737 + ... + 16854220863.

Almost surely, 2^{2140486041600} is an apocalyptic number.

2140486041600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2140486041600 is the 1463040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140486041600

2140486041600 is an abundant number, since it is smaller than the sum of its proper divisors (5852224455897).

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

2140486041600 is an frugal number, since it uses more digits than its factorization.

2140486041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 2140486041600 by its sum of digits (36), we get a square (77057497497600 = 8778240²).

2140486041600 divided by its sum of digits (36) gives a square (59457945600 = 243840²).

2140486041600 divided by its product of nonzero digits (36864) gives a square (58064400 = 7620²).

The spelling of 2140486041600 in words is "two trillion, one hundred forty billion, four hundred eighty-six million, forty-one thousand, six hundred".