214427174147400 has 384 divisors, whose sum is σ = 707080743936000. Its totient is φ = 53600665559040.

The previous prime is 214427174147353. The next prime is 214427174147437. The reversal of 214427174147400 is 4741471724412.

It is a self number, because there is not a number n which added to its sum of digits gives 214427174147400.

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, 5625185541 + ... + 5625223659.

It is an arithmetic number, because the mean of its divisors is an integer number (1841356104000).

Almost surely, 2^{214427174147400} is an apocalyptic number.

214427174147400 is a gapful number since it is divisible by the number (20) 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 214427174147400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353540371968000).

214427174147400 is an abundant number, since it is smaller than the sum of its proper divisors (492653569788600).

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

214427174147400 is a wasteful number, since it uses less digits than its factorization.

214427174147400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43341 (or 43332 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 48.

The spelling of 214427174147400 in words is "two hundred fourteen trillion, four hundred twenty-seven billion, one hundred seventy-four million, one hundred forty-seven thousand, four hundred".