40915258638336 has 816 divisors, whose sum is σ = 126583758100800. Its totient is φ = 13198845542400.

The previous prime is 40915258638313. The next prime is 40915258638337. The reversal of 40915258638336 is 63383685251904.

It is a happy number.

40915258638336 is a `hidden beast` number, since 4 + 0 + 9 + 15 + 2 + 586 + 3 + 8 + 3 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40915258638337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102033063736 + ... + 102033064136.

Almost surely, 2^{40915258638336} 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 40915258638336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63291879050400).

40915258638336 is an abundant number, since it is smaller than the sum of its proper divisors (85668499462464).

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

40915258638336 is an frugal number, since it uses more digits than its factorization.

40915258638336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 40915258638336 in words is "forty trillion, nine hundred fifteen billion, two hundred fifty-eight million, six hundred thirty-eight thousand, three hundred thirty-six".