414116556480 has 1176 divisors, whose sum is σ = 1722713360256. Its totient is φ = 94377000960.

The previous prime is 414116556457. The next prime is 414116556487. The reversal of 414116556480 is 84655611414.

414116556480 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 1 + 6 + 5 + 564 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (414116556487) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 479856529 + ... + 479857391.

Almost surely, 2^414116556480 is an apocalyptic number.

414116556480 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 414116556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861356680128).

414116556480 is an abundant number, since it is smaller than the sum of its proper divisors (1308596803776).

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

414116556480 is a wasteful number, since it uses less digits than its factorization.

414116556480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 414116556480 in words is "four hundred fourteen billion, one hundred sixteen million, five hundred fifty-six thousand, four hundred eighty".