1390137840 has 480 divisors, whose sum is σ = 5876707200. Its totient is φ = 292626432.

The previous prime is 1390137811. The next prime is 1390137851. The reversal of 1390137840 is 487310931.

It is a happy number.

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 = 1390137795 and 1390137804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3210264 + ... + 3210696.

It is an arithmetic number, because the mean of its divisors is an integer number (12243140).

Almost surely, 2^1390137840 is an apocalyptic number.

1390137840 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 1390137840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938353600).

1390137840 is an abundant number, since it is smaller than the sum of its proper divisors (4486569360).

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

1390137840 is a wasteful number, since it uses less digits than its factorization.

1390137840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1390137840 is about 37284.5522971646. The cubic root of 1390137840 is about 1116.0559188846.

The spelling of 1390137840 in words is "one billion, three hundred ninety million, one hundred thirty-seven thousand, eight hundred forty".