405725732160 has 112 divisors (see below), whose sum is σ = 1472204823936. Its totient is φ = 92737308672.

The previous prime is 405725732147. The next prime is 405725732207. The reversal of 405725732160 is 61237527504.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×405725732160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30181207 + ... + 30194646.

It is an arithmetic number, because the mean of its divisors is an integer number (13144685928).

Almost surely, 2^405725732160 is an apocalyptic number.

405725732160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405725732160 is an abundant number, since it is smaller than the sum of its proper divisors (1066479091776).

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

405725732160 is a wasteful number, since it uses less digits than its factorization.

405725732160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60375880 (or 60375870 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 405725732160 in words is "four hundred five billion, seven hundred twenty-five million, seven hundred thirty-two thousand, one hundred sixty".