40641436440 has 144 divisors (see below), whose sum is σ = 145184130000. Its totient is φ = 9852458880.

The previous prime is 40641436361. The next prime is 40641436469. The reversal of 40641436440 is 4463414604.

40641436440 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 1 + 4 + 3 + 644 + 0 = 666.

40641436440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40641436395 and 40641436404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 422940 + ... + 510059.

It is an arithmetic number, because the mean of its divisors is an integer number (1008223125).

Almost surely, 2^40641436440 is an apocalyptic number.

40641436440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40641436440 is an abundant number, since it is smaller than the sum of its proper divisors (104542693560).

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

40641436440 is a wasteful number, since it uses less digits than its factorization.

40641436440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933038 (or 933020 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 40641436440 in words is "forty billion, six hundred forty-one million, four hundred thirty-six thousand, four hundred forty".