40471272475200 has 2352 divisors, whose sum is σ = 181027702699776. Its totient is φ = 8700858777600.

The previous prime is 40471272475129. The next prime is 40471272475279. The reversal of 40471272475200 is 257427217404.

40471272475200 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 12 + 72 + 47 + 520 + 0 = 666.

It is a super-2 number, since 2×40471272475200² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 11455212634 + ... + 11455216166.

Almost surely, 2^{40471272475200} is an apocalyptic number.

40471272475200 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 40471272475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90513851349888).

40471272475200 is an abundant number, since it is smaller than the sum of its proper divisors (140556430224576).

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

40471272475200 is a wasteful number, since it uses less digits than its factorization.

40471272475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 45.

The spelling of 40471272475200 in words is "forty trillion, four hundred seventy-one billion, two hundred seventy-two million, four hundred seventy-five thousand, two hundred".