3968519137440 has 768 divisors, whose sum is σ = 14833955243520. Its totient is φ = 884413071360.

The previous prime is 3968519137409. The next prime is 3968519137459. The reversal of 3968519137440 is 447319158693.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 3630849534 + ... + 3630850626.

It is an arithmetic number, because the mean of its divisors is an integer number (19315045890).

Almost surely, 2^{3968519137440} is an apocalyptic number.

3968519137440 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 3968519137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7416977621760).

3968519137440 is an abundant number, since it is smaller than the sum of its proper divisors (10865436106080).

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

3968519137440 is a wasteful number, since it uses less digits than its factorization.

3968519137440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 3968519137440 in words is "three trillion, nine hundred sixty-eight billion, five hundred nineteen million, one hundred thirty-seven thousand, four hundred forty".