40875134976 has 429 divisors, whose sum is σ = 132766764069. Its totient is φ = 12576964608.

The previous prime is 40875134957. The next prime is 40875134983. The reversal of 40875134976 is 67943157804.

The square root of 40875134976 is 202176.

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

40875134976 is a `hidden beast` number, since 4 + 0 + 87 + 513 + 49 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6046617600 + 34828517376 = 77760^2 + 186624^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 3144241146 + ... + 3144241158.

Almost surely, 2^40875134976 is an apocalyptic number.

40875134976 is the 202176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40875134976

40875134976 is an abundant number, since it is smaller than the sum of its proper divisors (91891629093).

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

40875134976 is an frugal number, since it uses more digits than its factorization.

40875134976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 40875134976 in words is "forty billion, eight hundred seventy-five million, one hundred thirty-four thousand, nine hundred seventy-six".