40811433984 has 312 divisors, whose sum is σ = 123578206752. Its totient is φ = 13456834560.

The previous prime is 40811433967. The next prime is 40811434007. The reversal of 40811433984 is 48933411804.

40811433984 is a `hidden beast` number, since 40 + 81 + 143 + 398 + 4 = 666.

It is a super-2 number, since 2×40811433984² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130387812 + ... + 130388124.

It is an arithmetic number, because the mean of its divisors is an integer number (396083996).

Almost surely, 2^40811433984 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 40811433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61789103376).

40811433984 is an abundant number, since it is smaller than the sum of its proper divisors (82766772768).

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

40811433984 is an equidigital number, since it uses as much as digits as its factorization.

40811433984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40811433984 in words is "forty billion, eight hundred eleven million, four hundred thirty-three thousand, nine hundred eighty-four".