40923368640 has 896 divisors, whose sum is σ = 181709568000. Its totient is φ = 8422686720.

The previous prime is 40923368611. The next prime is 40923368657. The reversal of 40923368640 is 4686332904.

40923368640 is a `hidden beast` number, since 409 + 233 + 6 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91143136 + ... + 91143584.

Almost surely, 2^40923368640 is an apocalyptic number.

40923368640 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 40923368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90854784000).

40923368640 is an abundant number, since it is smaller than the sum of its proper divisors (140786199360).

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

40923368640 is a wasteful number, since it uses less digits than its factorization.

40923368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 40923368640 in words is "forty billion, nine hundred twenty-three million, three hundred sixty-eight thousand, six hundred forty".