1379495040 has 768 divisors, whose sum is σ = 5894000640. Its totient is φ = 270950400.

The previous prime is 1379495023. The next prime is 1379495041. The reversal of 1379495040 is 405949731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1379494983 and 1379495001.

It is not an unprimeable number, because it can be changed into a prime (1379495041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32081259 + ... + 32081301.

It is an arithmetic number, because the mean of its divisors is an integer number (7674480).

Almost surely, 2^1379495040 is an apocalyptic number.

1379495040 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 1379495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947000320).

1379495040 is an abundant number, since it is smaller than the sum of its proper divisors (4514505600).

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

1379495040 is a wasteful number, since it uses less digits than its factorization.

1379495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1379495040 is about 37141.5540870330. The cubic root of 1379495040 is about 1113.2004701988.

The spelling of 1379495040 in words is "one billion, three hundred seventy-nine million, four hundred ninety-five thousand, forty".