414072704640 has 768 divisors, whose sum is σ = 1635082848000. Its totient is φ = 88562073600.

The previous prime is 414072704629. The next prime is 414072704699. The reversal of 414072704640 is 46407270414.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318271990 + ... + 318273290.

It is an arithmetic number, because the mean of its divisors is an integer number (2129014125).

Almost surely, 2^414072704640 is an apocalyptic number.

414072704640 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 414072704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817541424000).

414072704640 is an abundant number, since it is smaller than the sum of its proper divisors (1221010143360).

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

414072704640 is a wasteful number, since it uses less digits than its factorization.

414072704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 414072704640 in words is "four hundred fourteen billion, seventy-two million, seven hundred four thousand, six hundred forty".