1363406929920 has 1200 divisors, whose sum is σ = 5652228859200. Its totient is φ = 307973062656.

The previous prime is 1363406929877. The next prime is 1363406929957. The reversal of 1363406929920 is 299296043631.

1363406929920 is a `hidden beast` number, since 1 + 3 + 6 + 340 + 6 + 9 + 299 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6920847262 + ... + 6920847458.

It is an arithmetic number, because the mean of its divisors is an integer number (4710190716).

Almost surely, 2^{1363406929920} is an apocalyptic number.

1363406929920 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 1363406929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826114429600).

1363406929920 is an abundant number, since it is smaller than the sum of its proper divisors (4288821929280).

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

1363406929920 is an equidigital number, since it uses as much as digits as its factorization.

1363406929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 1363406929920 in words is "one trillion, three hundred sixty-three billion, four hundred six million, nine hundred twenty-nine thousand, nine hundred twenty".