1379514240 has 640 divisors, whose sum is σ = 5598331200. Its totient is φ = 321159168.

The previous prime is 1379514221. The next prime is 1379514251. The reversal of 1379514240 is 424159731.

1379514240 is a `hidden beast` number, since 137 + 9 + 514 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1379514195 and 1379514204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15500116 + ... + 15500204.

Almost surely, 2^1379514240 is an apocalyptic number.

1379514240 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 1379514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799165600).

1379514240 is an abundant number, since it is smaller than the sum of its proper divisors (4218816960).

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

1379514240 is a wasteful number, since it uses less digits than its factorization.

1379514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1379514240 is about 37141.8125567399. The cubic root of 1379514240 is about 1113.2056347335.

The spelling of 1379514240 in words is "one billion, three hundred seventy-nine million, five hundred fourteen thousand, two hundred forty".