340417244160 has 1408 divisors, whose sum is σ = 1442555289600. Its totient is φ = 74530160640.

The previous prime is 340417244143. The next prime is 340417244201. The reversal of 340417244160 is 61442714043.

340417244160 is a `hidden beast` number, since 3 + 40 + 4 + 172 + 441 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4309079001 + ... + 4309079079.

Almost surely, 2^340417244160 is an apocalyptic number.

340417244160 is a gapful number since it is divisible by the number (30) 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 340417244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721277644800).

340417244160 is an abundant number, since it is smaller than the sum of its proper divisors (1102138045440).

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

340417244160 is a wasteful number, since it uses less digits than its factorization.

340417244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 340417244160 in words is "three hundred forty billion, four hundred seventeen million, two hundred forty-four thousand, one hundred sixty".