40356244764160 has 160 divisors (see below), whose sum is σ = 107796737442240. Its totient is φ = 14386947391488.

The previous prime is 40356244764139. The next prime is 40356244764301. The reversal of 40356244764160 is 6146744265304.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 40356244764098 and 40356244764107.

It is a congruent number.

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, 19942252 + ... + 21872491.

It is an arithmetic number, because the mean of its divisors is an integer number (673729609014).

Almost surely, 2^{40356244764160} is an apocalyptic number.

40356244764160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40356244764160 is an abundant number, since it is smaller than the sum of its proper divisors (67440492678080).

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

40356244764160 is a wasteful number, since it uses less digits than its factorization.

40356244764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41814808 (or 41814792 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 52.

The spelling of 40356244764160 in words is "forty trillion, three hundred fifty-six billion, two hundred forty-four million, seven hundred sixty-four thousand, one hundred sixty".