3942901152000 has 720 divisors, whose sum is σ = 15069685783152. Its totient is φ = 1022998118400.

The previous prime is 3942901151999. The next prime is 3942901152007. The reversal of 3942901152000 is 2511092493.

3942901152000 is a `hidden beast` number, since 3 + 9 + 42 + 90 + 1 + 1 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 195052955904 + 3747848196096 = 441648^2 + 1935936^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (3942901152007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95883444 + ... + 95924556.

Almost surely, 2^{3942901152000} is an apocalyptic number.

3942901152000 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 3942901152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534842891576).

3942901152000 is an abundant number, since it is smaller than the sum of its proper divisors (11126784631152).

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

3942901152000 is an equidigital number, since it uses as much as digits as its factorization.

3942901152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41193 (or 41160 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 3942901152000 in words is "three trillion, nine hundred forty-two billion, nine hundred one million, one hundred fifty-two thousand".