1390142014560 has 768 divisors, whose sum is σ = 5581849190400. Its totient is φ = 320094830592.

The previous prime is 1390142014549. The next prime is 1390142014579. The reversal of 1390142014560 is 654102410931.

It is a happy number.

1390142014560 is a `hidden beast` number, since 1 + 3 + 90 + 1 + 4 + 2 + 0 + 1 + 4 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159433881 + ... + 159442599.

It is an arithmetic number, because the mean of its divisors is an integer number (7268032800).

Almost surely, 2^{1390142014560} is an apocalyptic number.

1390142014560 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 1390142014560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790924595200).

1390142014560 is an abundant number, since it is smaller than the sum of its proper divisors (4191707175840).

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

1390142014560 is a wasteful number, since it uses less digits than its factorization.

1390142014560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8940 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1390142014560 in words is "one trillion, three hundred ninety billion, one hundred forty-two million, fourteen thousand, five hundred sixty".