40878976320 has 1344 divisors, whose sum is σ = 184527383040. Its totient is φ = 8384643072.

The previous prime is 40878976319. The next prime is 40878976337. The reversal of 40878976320 is 2367987804.

40878976320 is a `hidden beast` number, since 408 + 78 + 97 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×40878976320³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 375036426 + ... + 375036534.

It is an arithmetic number, because the mean of its divisors is an integer number (137297160).

Almost surely, 2^40878976320 is an apocalyptic number.

40878976320 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 40878976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92263691520).

40878976320 is an abundant number, since it is smaller than the sum of its proper divisors (143648406720).

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

40878976320 is a wasteful number, since it uses less digits than its factorization.

40878976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 40878976320 in words is "forty billion, eight hundred seventy-eight million, nine hundred seventy-six thousand, three hundred twenty".