425709271296 has 405 divisors, whose sum is σ = 1333748524801. Its totient is φ = 135044388864.

The previous prime is 425709271291. The next prime is 425709271301. The reversal of 425709271296 is 692172907524.

The square root of 425709271296 is 652464.

It is a perfect power (a square), and thus also a powerful number.

425709271296 is a `hidden beast` number, since 42 + 570 + 9 + 2 + 7 + 1 + 29 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (425709271291) and next prime (425709271301).

It can be written as a sum of positive squares in only one way, i.e., 417109305600 + 8599965696 = 645840^2 + 92736^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (425709271291) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2160960670 + ... + 2160960866.

Almost surely, 2^425709271296 is an apocalyptic number.

425709271296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

425709271296 is the 652464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425709271296

425709271296 is an abundant number, since it is smaller than the sum of its proper divisors (908039253505).

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

425709271296 is an frugal number, since it uses more digits than its factorization.

425709271296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 425709271296 in words is "four hundred twenty-five billion, seven hundred nine million, two hundred seventy-one thousand, two hundred ninety-six".