40973437915200 has 672 divisors, whose sum is σ = 178122790840320. Its totient is φ = 8958166272000.

The previous prime is 40973437915183. The next prime is 40973437915211. The reversal of 40973437915200 is 251973437904.

40973437915200 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 3 + 43 + 79 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×40973437915200² (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 4009675 + ... + 9900725.

Almost surely, 2^{40973437915200} is an apocalyptic number.

40973437915200 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 40973437915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89061395420160).

40973437915200 is an abundant number, since it is smaller than the sum of its proper divisors (137149352925120).

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

40973437915200 is a wasteful number, since it uses less digits than its factorization.

40973437915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891112 (or 5891091 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 40973437915200 in words is "forty trillion, nine hundred seventy-three billion, four hundred thirty-seven million, nine hundred fifteen thousand, two hundred".