40933947456 has 280 divisors, whose sum is σ = 123206950944. Its totient is φ = 13436928000.

The previous prime is 40933947367. The next prime is 40933947473. The reversal of 40933947456 is 65474933904.

It is a happy number.

40933947456 is a `hidden beast` number, since 4 + 0 + 93 + 39 + 474 + 56 = 666.

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

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, 163083331 + ... + 163083581.

Almost surely, 2^40933947456 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 40933947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61603475472).

40933947456 is an abundant number, since it is smaller than the sum of its proper divisors (82273003488).

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

40933947456 is a wasteful number, since it uses less digits than its factorization.

40933947456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 40933947456 in words is "forty billion, nine hundred thirty-three million, nine hundred forty-seven thousand, four hundred fifty-six".