3920148247920 has 160 divisors (see below), whose sum is σ = 12870703008000. Its totient is φ = 983620915200.

The previous prime is 3920148247919. The next prime is 3920148247949. The reversal of 3920148247920 is 297428410293.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15587331 + ... + 15836829.

It is an arithmetic number, because the mean of its divisors is an integer number (80441893800).

Almost surely, 2^{3920148247920} is an apocalyptic number.

3920148247920 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 3920148247920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435351504000).

3920148247920 is an abundant number, since it is smaller than the sum of its proper divisors (8950554760080).

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

3920148247920 is a wasteful number, since it uses less digits than its factorization.

3920148247920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253383 (or 253377 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 3920148247920 in words is "three trillion, nine hundred twenty billion, one hundred forty-eight million, two hundred forty-seven thousand, nine hundred twenty".