40976754728400 has 180 divisors, whose sum is σ = 142218013238028. Its totient is φ = 10925805834240.

The previous prime is 40976754728347. The next prime is 40976754728401. The reversal of 40976754728400 is 482745767904.

40976754728400 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 6 + 7 + 547 + 2 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 246881784384 + 40729872944016 = 496872^2 + 6381996^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40976754728401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29094874 + ... + 30470726.

Almost surely, 2^{40976754728400} is an apocalyptic number.

40976754728400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40976754728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71109006619014).

40976754728400 is an abundant number, since it is smaller than the sum of its proper divisors (101241258509628).

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

40976754728400 is a wasteful number, since it uses less digits than its factorization.

40976754728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384150 (or 1384136 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 40976754728400 in words is "forty trillion, nine hundred seventy-six billion, seven hundred fifty-four million, seven hundred twenty-eight thousand, four hundred".