1390856479488 has 1296 divisors, whose sum is σ = 5129781995520. Its totient is φ = 374143795200.

The previous prime is 1390856479487. The next prime is 1390856479499. The reversal of 1390856479488 is 8849746580931.

1390856479488 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 85 + 64 + 7 + 9 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1390856479487) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3874251853 + ... + 3874252211.

It is an arithmetic number, because the mean of its divisors is an integer number (3958165120).

Almost surely, 2^{1390856479488} is an apocalyptic number.

1390856479488 is a gapful number since it is divisible by the number (18) 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 1390856479488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564890997760).

1390856479488 is an abundant number, since it is smaller than the sum of its proper divisors (3738925516032).

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

1390856479488 is an equidigital number, since it uses as much as digits as its factorization.

1390856479488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 1390856479488 in words is "one trillion, three hundred ninety billion, eight hundred fifty-six million, four hundred seventy-nine thousand, four hundred eighty-eight".