3915921623040 has 1152 divisors, whose sum is σ = 15805735545600. Its totient is φ = 878224343040.

The previous prime is 3915921623011. The next prime is 3915921623077. The reversal of 3915921623040 is 403261295193.

3915921623040 is a `hidden beast` number, since 3 + 9 + 1 + 592 + 16 + 2 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 13837178739 + ... + 13837179021.

It is an arithmetic number, because the mean of its divisors is an integer number (13720256550).

Almost surely, 2^{3915921623040} is an apocalyptic number.

3915921623040 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 3915921623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902867772800).

3915921623040 is an abundant number, since it is smaller than the sum of its proper divisors (11889813922560).

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

3915921623040 is a wasteful number, since it uses less digits than its factorization.

3915921623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 3915921623040 in words is "three trillion, nine hundred fifteen billion, nine hundred twenty-one million, six hundred twenty-three thousand, forty".