725831043840 has 432 divisors, whose sum is σ = 2962649604096. Its totient is φ = 160551936000.

The previous prime is 725831043823. The next prime is 725831043857. The reversal of 725831043840 is 48340138527.

725831043840 is a `hidden beast` number, since 7 + 258 + 3 + 10 + 4 + 384 + 0 = 666.

725831043840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (725831043823) and next prime (725831043857).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2354665 + ... + 2645015.

Almost surely, 2^725831043840 is an apocalyptic number.

725831043840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725831043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481324802048).

725831043840 is an abundant number, since it is smaller than the sum of its proper divisors (2236818560256).

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

725831043840 is a wasteful number, since it uses less digits than its factorization.

725831043840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290416 (or 290399 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 725831043840 in words is "seven hundred twenty-five billion, eight hundred thirty-one million, forty-three thousand, eight hundred forty".