40915264320 has 280 divisors, whose sum is σ = 166335358464. Its totient is φ = 9352018944.

The previous prime is 40915264237. The next prime is 40915264343. The reversal of 40915264320 is 2346251904.

It is a happy number.

40915264320 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 5 + 2 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68689 + ... + 294191.

Almost surely, 2^40915264320 is an apocalyptic number.

40915264320 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 40915264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83167679232).

40915264320 is an abundant number, since it is smaller than the sum of its proper divisors (125420094144).

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

40915264320 is a wasteful number, since it uses less digits than its factorization.

40915264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225539 (or 225520 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 40915264320 in words is "forty billion, nine hundred fifteen million, two hundred sixty-four thousand, three hundred twenty".