340424216640 has 448 divisors, whose sum is σ = 1273876243200. Its totient is φ = 85285896192.

The previous prime is 340424216597. The next prime is 340424216683. The reversal of 340424216640 is 46612424043.

340424216640 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 2 + 4 + 2 + 1 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (340424216597) and next prime (340424216683).

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 = 340424216595 and 340424216604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96792162 + ... + 96795678.

Almost surely, 2^340424216640 is an apocalyptic number.

340424216640 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 340424216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636938121600).

340424216640 is an abundant number, since it is smaller than the sum of its proper divisors (933452026560).

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

340424216640 is a wasteful number, since it uses less digits than its factorization.

340424216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 340424216640 in words is "three hundred forty billion, four hundred twenty-four million, two hundred sixteen thousand, six hundred forty".