414193022640 has 160 divisors (see below), whose sum is σ = 1427827392960. Its totient is φ = 110361470976.

The previous prime is 414193022603. The next prime is 414193022651. The reversal of 414193022640 is 46220391414.

414193022640 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 9 + 3 + 0 + 2 + 2 + 640 = 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 = 414193022595 and 414193022604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2594412 + ... + 2749428.

It is an arithmetic number, because the mean of its divisors is an integer number (8923921206).

Almost surely, 2^414193022640 is an apocalyptic number.

414193022640 is a gapful number since it is divisible by the number (40) 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 414193022640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713913696480).

414193022640 is an abundant number, since it is smaller than the sum of its proper divisors (1013634370320).

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

414193022640 is a wasteful number, since it uses less digits than its factorization.

414193022640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156276 (or 156264 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 414193022640 in words is "four hundred fourteen billion, one hundred ninety-three million, twenty-two thousand, six hundred forty".