1390302144 has 504 divisors, whose sum is σ = 5279184768. Its totient is φ = 352719360.

The previous prime is 1390302113. The next prime is 1390302161. The reversal of 1390302144 is 4412030931.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1390302144² = 3865880103221993472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32332587 + ... + 32332629.

Almost surely, 2^1390302144 is an apocalyptic number.

1390302144 is a gapful number since it is divisible by the number (14) 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 1390302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639592384).

1390302144 is an abundant number, since it is smaller than the sum of its proper divisors (3888882624).

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

1390302144 is an frugal number, since it uses more digits than its factorization.

1390302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1390302144 is about 37286.7556110746. The cubic root of 1390302144 is about 1116.0998870011.

The spelling of 1390302144 in words is "one billion, three hundred ninety million, three hundred two thousand, one hundred forty-four".