3962013440000 has 960 divisors, whose sum is σ = 12563533382400. Its totient is φ = 1212825600000.

The previous prime is 3962013439973. The next prime is 3962013440017. The reversal of 3962013440000 is 443102693.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6012159671 + ... + 6012160329.

It is an arithmetic number, because the mean of its divisors is an integer number (13087013940).

Almost surely, 2^{3962013440000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3962013440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6281766691200).

3962013440000 is an abundant number, since it is smaller than the sum of its proper divisors (8601519942400).

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

3962013440000 is an equidigital number, since it uses as much as digits as its factorization.

3962013440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 3962013440000 its reverse (443102693), we get a palindrome (3962456542693).

The spelling of 3962013440000 in words is "three trillion, nine hundred sixty-two billion, thirteen million, four hundred forty thousand".