414224627172000 has 96 divisors (see below), whose sum is σ = 1356999878654784. Its totient is φ = 110459900576000.

The previous prime is 414224627171951. The next prime is 414224627172023. The reversal of 414224627172000 is 271726422414.

It is a tau number, because it is divible by the number of its divisors (96).

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, 17259347466 + ... + 17259371465.

It is an arithmetic number, because the mean of its divisors is an integer number (14135415402654).

Almost surely, 2^{414224627172000} is an apocalyptic number.

414224627172000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414224627172000 is an abundant number, since it is smaller than the sum of its proper divisors (942775251482784).

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

414224627172000 is a wasteful number, since it uses less digits than its factorization.

414224627172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34518718959 (or 34518718941 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 414224627172000 in words is "four hundred fourteen trillion, two hundred twenty-four billion, six hundred twenty-seven million, one hundred seventy-two thousand".