56431280340 has 192 divisors, whose sum is σ = 176693529600. Its totient is φ = 14951933568.

The previous prime is 56431280299. The next prime is 56431280357. The reversal of 56431280340 is 4308213465.

56431280340 is a `hidden beast` number, since 5 + 6 + 4 + 31 + 280 + 340 = 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 = 56431280295 and 56431280304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100232899 + ... + 100233461.

It is an arithmetic number, because the mean of its divisors is an integer number (920278800).

Almost surely, 2^56431280340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56431280340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88346764800).

56431280340 is an abundant number, since it is smaller than the sum of its proper divisors (120262249260).

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

56431280340 is a wasteful number, since it uses less digits than its factorization.

56431280340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 56431280340 in words is "fifty-six billion, four hundred thirty-one million, two hundred eighty thousand, three hundred forty".