231617413440 has 1568 divisors, whose sum is σ = 1005835610880. Its totient is φ = 49662885888.

The previous prime is 231617413421. The next prime is 231617413457. The reversal of 231617413440 is 44314716132.

231617413440 is a `hidden beast` number, since 2 + 3 + 1 + 617 + 4 + 1 + 34 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 231617413395 and 231617413404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3172841244 + ... + 3172841316.

Almost surely, 2^231617413440 is an apocalyptic number.

231617413440 is a gapful number since it is divisible by the number (20) 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 231617413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502917805440).

231617413440 is an abundant number, since it is smaller than the sum of its proper divisors (774218197440).

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

231617413440 is an equidigital number, since it uses as much as digits as its factorization.

231617413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 231617413440 in words is "two hundred thirty-one billion, six hundred seventeen million, four hundred thirteen thousand, four hundred forty".