3960903542400 has 768 divisors, whose sum is σ = 16585474176000. Its totient is φ = 904320184320.

The previous prime is 3960903542369. The next prime is 3960903542411. The reversal of 3960903542400 is 42453090693.

3960903542400 is a `hidden beast` number, since 3 + 9 + 60 + 9 + 0 + 3 + 542 + 40 + 0 = 666.

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

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, 616287987 + ... + 616294413.

It is an arithmetic number, because the mean of its divisors is an integer number (21595669500).

Almost surely, 2^{3960903542400} is an apocalyptic number.

3960903542400 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 3960903542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8292737088000).

3960903542400 is an abundant number, since it is smaller than the sum of its proper divisors (12624570633600).

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

3960903542400 is a wasteful number, since it uses less digits than its factorization.

3960903542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486 (or 7463 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3960903542400 in words is "three trillion, nine hundred sixty billion, nine hundred three million, five hundred forty-two thousand, four hundred".