414166152960 has 864 divisors, whose sum is σ = 1740668372352. Its totient is φ = 88756715520.

The previous prime is 414166152937. The next prime is 414166152971. The reversal of 414166152960 is 69251661414.

414166152960 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 6 + 61 + 529 + 60 = 666.

It is a super-2 number, since 2×414166152960² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 544238980 + ... + 544239740.

It is an arithmetic number, because the mean of its divisors is an integer number (2014662468).

Almost surely, 2^414166152960 is an apocalyptic number.

414166152960 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 414166152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870334186176).

414166152960 is an abundant number, since it is smaller than the sum of its proper divisors (1326502219392).

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

414166152960 is a wasteful number, since it uses less digits than its factorization.

414166152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 414166152960 in words is "four hundred fourteen billion, one hundred sixty-six million, one hundred fifty-two thousand, nine hundred sixty".