414287485920 has 1920 divisors, whose sum is σ = 1902747635712. Its totient is φ = 83099934720.

The previous prime is 414287485879. The next prime is 414287485943. The reversal of 414287485920 is 29584782414.

414287485920 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 8 + 7 + 48 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5675171004 + ... + 5675171076.

Almost surely, 2^414287485920 is an apocalyptic number.

414287485920 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 414287485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951373817856).

414287485920 is an abundant number, since it is smaller than the sum of its proper divisors (1488460149792).

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

414287485920 is a wasteful number, since it uses less digits than its factorization.

414287485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 414287485920 in words is "four hundred fourteen billion, two hundred eighty-seven million, four hundred eighty-five thousand, nine hundred twenty".