3921214510080 has 660 divisors, whose sum is σ = 16345609181748. Its totient is φ = 896272957440.

The previous prime is 3921214510049. The next prime is 3921214510093. The reversal of 3921214510080 is 800154121293.

3921214510080 is a `hidden beast` number, since 3 + 9 + 2 + 121 + 451 + 0 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1912622616576 + 2008591893504 = 1382976^2 + 1417248^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20224800 + ... + 20417760.

Almost surely, 2^{3921214510080} is an apocalyptic number.

3921214510080 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 3921214510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172804590874).

3921214510080 is an abundant number, since it is smaller than the sum of its proper divisors (12424394671668).

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

3921214510080 is a wasteful number, since it uses less digits than its factorization.

3921214510080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193012 (or 192978 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 3921214510080 in words is "three trillion, nine hundred twenty-one billion, two hundred fourteen million, five hundred ten thousand, eighty".