40613323968 has 224 divisors, whose sum is σ = 136615749120. Its totient is φ = 11589903360.

The previous prime is 40613323921. The next prime is 40613323981. The reversal of 40613323968 is 86932331604.

40613323968 is a `hidden beast` number, since 4 + 0 + 613 + 3 + 23 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14283955 + ... + 14286797.

Almost surely, 2^40613323968 is an apocalyptic number.

40613323968 is a gapful number since it is divisible by the number (48) 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 40613323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68307874560).

40613323968 is an abundant number, since it is smaller than the sum of its proper divisors (96002425152).

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

40613323968 is a wasteful number, since it uses less digits than its factorization.

40613323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 40613323968 in words is "forty billion, six hundred thirteen million, three hundred twenty-three thousand, nine hundred sixty-eight".