414013154208 has 48 divisors (see below), whose sum is σ = 1087189367040. Its totient is φ = 137952976896.

The previous prime is 414013154143. The next prime is 414013154231. The reversal of 414013154208 is 802451310414.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543760 + ... + 1060047.

It is an arithmetic number, because the mean of its divisors is an integer number (22649778480).

Almost surely, 2^414013154208 is an apocalyptic number.

414013154208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

414013154208 is an abundant number, since it is smaller than the sum of its proper divisors (673176212832).

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

414013154208 is a wasteful number, since it uses less digits than its factorization.

414013154208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606509 (or 1606501 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 414013154208 in words is "four hundred fourteen billion, thirteen million, one hundred fifty-four thousand, two hundred eight".