1363624142320 has 80 divisors (see below), whose sum is σ = 3463328511360. Its totient is φ = 495192096000.

The previous prime is 1363624142303. The next prime is 1363624142383. The reversal of 1363624142320 is 232414263631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1363624142320² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1363624142320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398106 + ... + 1698745.

It is an arithmetic number, because the mean of its divisors is an integer number (43291606392).

Almost surely, 2^{1363624142320} is an apocalyptic number.

1363624142320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1363624142320 is an abundant number, since it is smaller than the sum of its proper divisors (2099704369040).

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

1363624142320 is a wasteful number, since it uses less digits than its factorization.

1363624142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097614 (or 2097608 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 1363624142320 in words is "one trillion, three hundred sixty-three billion, six hundred twenty-four million, one hundred forty-two thousand, three hundred twenty".