40200971802624 has 144 divisors (see below), whose sum is σ = 116163532190160. Its totient is φ = 13393890263040.

The previous prime is 40200971802619. The next prime is 40200971802671. The reversal of 40200971802624 is 42620817900204.

40200971802624 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 0 + 9 + 7 + 18 + 0 + 2 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40200971802624² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40200971802624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37945054 + ... + 38990114.

It is an arithmetic number, because the mean of its divisors is an integer number (806691195765).

Almost surely, 2^{40200971802624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40200971802624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58081766095080).

40200971802624 is an abundant number, since it is smaller than the sum of its proper divisors (75962560387536).

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

40200971802624 is a wasteful number, since it uses less digits than its factorization.

40200971802624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047176 (or 1047153 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 40200971802624 in words is "forty trillion, two hundred billion, nine hundred seventy-one million, eight hundred two thousand, six hundred twenty-four".