3951968486400 has 2640 divisors, whose sum is σ = 17266217177088. Its totient is φ = 886837248000.

The previous prime is 3951968486393. The next prime is 3951968486437. The reversal of 3951968486400 is 46848691593.

3951968486400 is a `hidden beast` number, since 3 + 9 + 51 + 9 + 68 + 486 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 127482854385 + ... + 127482854415.

Almost surely, 2^{3951968486400} is an apocalyptic number.

3951968486400 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 3951968486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633108588544).

3951968486400 is an abundant number, since it is smaller than the sum of its proper divisors (13314248690688).

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

3951968486400 is an equidigital number, since it uses as much as digits as its factorization.

3951968486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 3951968486400 in words is "three trillion, nine hundred fifty-one billion, nine hundred sixty-eight million, four hundred eighty-six thousand, four hundred".