3958393021440 has 1408 divisors, whose sum is σ = 15852274034688. Its totient is φ = 828238725120.

The previous prime is 3958393021411. The next prime is 3958393021459. The reversal of 3958393021440 is 441203938593.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8476216087 + ... + 8476216553.

Almost surely, 2^{3958393021440} is an apocalyptic number.

3958393021440 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 3958393021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926137017344).

3958393021440 is an abundant number, since it is smaller than the sum of its proper divisors (11893881013248).

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

3958393021440 is a wasteful number, since it uses less digits than its factorization.

3958393021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 3958393021440 in words is "three trillion, nine hundred fifty-eight billion, three hundred ninety-three million, twenty-one thousand, four hundred forty".