1378430788800 has 252 divisors, whose sum is σ = 4897041387000. Its totient is φ = 339305840640.

The previous prime is 1378430788783. The next prime is 1378430788811. The reversal of 1378430788800 is 88870348731.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38425 + ... + 1660824.

Almost surely, 2^{1378430788800} is an apocalyptic number.

1378430788800 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 1378430788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448520693500).

1378430788800 is an abundant number, since it is smaller than the sum of its proper divisors (3518610598200).

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

1378430788800 is a wasteful number, since it uses less digits than its factorization.

1378430788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699300 (or 1699272 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 1378430788800 in words is "one trillion, three hundred seventy-eight billion, four hundred thirty million, seven hundred eighty-eight thousand, eight hundred".