403712225312 has 54 divisors (see below), whose sum is σ = 873717987807. Its totient is φ = 183487585600.

The previous prime is 403712225311. The next prime is 403712225381. The reversal of 403712225312 is 213522217304.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 201856112656 + 201856112656 = 449284^2 + 449284^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=449284.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (403712225311) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39531887 + ... + 39542097.

Almost surely, 2^403712225312 is an apocalyptic number.

It is an amenable number.

403712225312 is an abundant number, since it is smaller than the sum of its proper divisors (470005762495).

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

403712225312 is an frugal number, since it uses more digits than its factorization.

403712225312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20454 (or 10224 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Multiplying 403712225312 by its sum of digits (32), we get a square (12918791209984 = 3594272²).

403712225312 divided by its sum of digits (32) gives a square (12616007041 = 112321²).

The spelling of 403712225312 in words is "four hundred three billion, seven hundred twelve million, two hundred twenty-five thousand, three hundred twelve".