3715959421440 has 2880 divisors, whose sum is σ = 16834813003008. Its totient is φ = 780337152000.

The previous prime is 3715959421429. The next prime is 3715959421469. The reversal of 3715959421440 is 441249595173.

3715959421440 is a `hidden beast` number, since 3 + 7 + 1 + 5 + 9 + 594 + 2 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36791677390 + ... + 36791677490.

Almost surely, 2^{3715959421440} is an apocalyptic number.

3715959421440 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 3715959421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8417406501504).

3715959421440 is an abundant number, since it is smaller than the sum of its proper divisors (13118853581568).

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

3715959421440 is a wasteful number, since it uses less digits than its factorization.

3715959421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3715959421440 in words is "three trillion, seven hundred fifteen billion, nine hundred fifty-nine million, four hundred twenty-one thousand, four hundred forty".