40751496900 has 135 divisors (see below), whose sum is σ = 132159174301. Its totient is φ = 10862220960.

The previous prime is 40751496893. The next prime is 40751496911. The reversal of 40751496900 is 969415704.

The square root of 40751496900 is 201870.

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

40751496900 is a `hidden beast` number, since 4 + 0 + 75 + 1 + 496 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14670538884 + 26080958016 = 121122^2 + 161496^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×40751496900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18167179 + ... + 18169421.

Almost surely, 2^40751496900 is an apocalyptic number.

40751496900 is the 201870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40751496900

40751496900 is an abundant number, since it is smaller than the sum of its proper divisors (91407677401).

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

40751496900 is an equidigital number, since it uses as much as digits as its factorization.

40751496900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4512 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 40751496900 in words is "forty billion, seven hundred fifty-one million, four hundred ninety-six thousand, nine hundred".