340484624640 has 216 divisors, whose sum is σ = 1206775723608. Its totient is φ = 88581242880.

The previous prime is 340484624621. The next prime is 340484624651. The reversal of 340484624640 is 46426484043.

340484624640 is a `hidden beast` number, since 34 + 0 + 484 + 62 + 46 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 340458246144 = 5136^2 + 583488^2 .

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 23 ways as a sum of consecutive naturals, for example, 111882 + ... + 832758.

Almost surely, 2^340484624640 is an apocalyptic number.

340484624640 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 340484624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603387861804).

340484624640 is an abundant number, since it is smaller than the sum of its proper divisors (866291098968).

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

340484624640 is a wasteful number, since it uses less digits than its factorization.

340484624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720945 (or 720928 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 340484624640 in words is "three hundred forty billion, four hundred eighty-four million, six hundred twenty-four thousand, six hundred forty".