414898891264 has 160 divisors (see below), whose sum is σ = 979047336960. Its totient is φ = 173166182400.

The previous prime is 414898891259. The next prime is 414898891271. The reversal of 414898891264 is 462198898414.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 414898891196 and 414898891205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13969422 + ... + 13999090.

It is an arithmetic number, because the mean of its divisors is an integer number (6119045856).

Almost surely, 2^414898891264 is an apocalyptic number.

414898891264 is a gapful number since it is divisible by the number (44) 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 414898891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489523668480).

414898891264 is an abundant number, since it is smaller than the sum of its proper divisors (564148445696).

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

414898891264 is a wasteful number, since it uses less digits than its factorization.

414898891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29902 (or 29886 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 64.

The spelling of 414898891264 in words is "four hundred fourteen billion, eight hundred ninety-eight million, eight hundred ninety-one thousand, two hundred sixty-four".