413465472000 has 1408 divisors, whose sum is σ = 1776405596160. Its totient is φ = 94058496000.

The previous prime is 413465471971. The next prime is 413465472031. The reversal of 413465472000 is 274564314.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1959551895 + ... + 1959552105.

Almost surely, 2^413465472000 is an apocalyptic number.

413465472000 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 413465472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888202798080).

413465472000 is an abundant number, since it is smaller than the sum of its proper divisors (1362940124160).

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

413465472000 is an frugal number, since it uses more digits than its factorization.

413465472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 413465472000 in words is "four hundred thirteen billion, four hundred sixty-five million, four hundred seventy-two thousand".