3916004460480 has 1120 divisors, whose sum is σ = 17115051571200. Its totient is φ = 829900505088.

The previous prime is 3916004460427. The next prime is 3916004460493. The reversal of 3916004460480 is 840644006193.

3916004460480 is a `hidden beast` number, since 3 + 9 + 160 + 0 + 4 + 4 + 6 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 162013836 + ... + 162038004.

Almost surely, 2^{3916004460480} is an apocalyptic number.

3916004460480 is a gapful number since it is divisible by the number (30) 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 3916004460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8557525785600).

3916004460480 is an abundant number, since it is smaller than the sum of its proper divisors (13199047110720).

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

3916004460480 is a wasteful number, since it uses less digits than its factorization.

3916004460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24271 (or 24252 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3916004460480 in words is "three trillion, nine hundred sixteen billion, four million, four hundred sixty thousand, four hundred eighty".