1379401920 has 224 divisors, whose sum is σ = 5240975040. Its totient is φ = 339517440.

The previous prime is 1379401889. The next prime is 1379401937. The reversal of 1379401920 is 291049731.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 106180 + ... + 118460.

It is an arithmetic number, because the mean of its divisors is an integer number (23397210).

Almost surely, 2^1379401920 is an apocalyptic number.

1379401920 is a gapful number since it is divisible by the number (10) 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 1379401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620487520).

1379401920 is an abundant number, since it is smaller than the sum of its proper divisors (3861573120).

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

1379401920 is a wasteful number, since it uses less digits than its factorization.

1379401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12320 (or 12304 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1379401920 is about 37140.3004834371. The cubic root of 1379401920 is about 1113.1754215259.

The spelling of 1379401920 in words is "one billion, three hundred seventy-nine million, four hundred one thousand, nine hundred twenty".