1379941920 has 720 divisors, whose sum is σ = 5912825688. Its totient is φ = 301916160.

The previous prime is 1379941919. The next prime is 1379941933. The reversal of 1379941920 is 291499731.

1379941920 is a `hidden beast` number, since 1 + 379 + 94 + 192 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 899280144 + 480661776 = 29988^2 + 21924^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26036614 + ... + 26036666.

Almost surely, 2^1379941920 is an apocalyptic number.

1379941920 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 1379941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956412844).

1379941920 is an abundant number, since it is smaller than the sum of its proper divisors (4532883768).

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

1379941920 is a wasteful number, since it uses less digits than its factorization.

1379941920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1379941920 is about 37147.5695032663. The cubic root of 1379941920 is about 1113.3206623233.

The spelling of 1379941920 in words is "one billion, three hundred seventy-nine million, nine hundred forty-one thousand, nine hundred twenty".