1362479148800 has 864 divisors, whose sum is σ = 4347966712320. Its totient is φ = 410399539200.

The previous prime is 1362479148769. The next prime is 1362479148827. The reversal of 1362479148800 is 88419742631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2394514916 + ... + 2394515484.

It is an arithmetic number, because the mean of its divisors is an integer number (5032368880).

Almost surely, 2^{1362479148800} is an apocalyptic number.

1362479148800 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 1362479148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173983356160).

1362479148800 is an abundant number, since it is smaller than the sum of its proper divisors (2985487563520).

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

1362479148800 is a wasteful number, since it uses less digits than its factorization.

1362479148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 1362479148800 in words is "one trillion, three hundred sixty-two billion, four hundred seventy-nine million, one hundred forty-eight thousand, eight hundred".