36413431440 has 80 divisors (see below), whose sum is σ = 112952228928. Its totient is φ = 9704176128.

The previous prime is 36413431421. The next prime is 36413431507. The reversal of 36413431440 is 4413431463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343854 + ... + 437106.

Almost surely, 2^36413431440 is an apocalyptic number.

36413431440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36413431440 is an abundant number, since it is smaller than the sum of its proper divisors (76538797488).

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

36413431440 is a wasteful number, since it uses less digits than its factorization.

36413431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94896 (or 94890 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 36413431440 in words is "thirty-six billion, four hundred thirteen million, four hundred thirty-one thousand, four hundred forty".