414227890440 has 2048 divisors, whose sum is σ = 1881169920000. Its totient is φ = 78683996160.

The previous prime is 414227890429. The next prime is 414227890457. The reversal of 414227890440 is 44098722414.

414227890440 is a `hidden beast` number, since 414 + 227 + 8 + 9 + 0 + 4 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4654245916 + ... + 4654246004.

It is an arithmetic number, because the mean of its divisors is an integer number (918540000).

Almost surely, 2^414227890440 is an apocalyptic number.

414227890440 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 414227890440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940584960000).

414227890440 is an abundant number, since it is smaller than the sum of its proper divisors (1466942029560).

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

414227890440 is a wasteful number, since it uses less digits than its factorization.

414227890440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 414227890440 in words is "four hundred fourteen billion, two hundred twenty-seven million, eight hundred ninety thousand, four hundred forty".