1390244518656 has 720 divisors, whose sum is σ = 4908174458880. Its totient is φ = 383012167680.

The previous prime is 1390244518639. The next prime is 1390244518657. The reversal of 1390244518656 is 6568154420931.

1390244518656 is a `hidden beast` number, since 1 + 3 + 90 + 24 + 451 + 86 + 5 + 6 = 666.

It is a super-3 number, since 3×1390244518656³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1390244518657) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2290353105 + ... + 2290353711.

Almost surely, 2^{1390244518656} is an apocalyptic number.

1390244518656 is a gapful number since it is divisible by the number (16) 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 1390244518656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454087229440).

1390244518656 is an abundant number, since it is smaller than the sum of its proper divisors (3517929940224).

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

1390244518656 is an equidigital number, since it uses as much as digits as its factorization.

1390244518656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1390244518656 in words is "one trillion, three hundred ninety billion, two hundred forty-four million, five hundred eighteen thousand, six hundred fifty-six".