1388412630400 has 384 divisors, whose sum is σ = 3774316240800. Its totient is φ = 502319677440.

The previous prime is 1388412630323. The next prime is 1388412630421. The reversal of 1388412630400 is 40362148831.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 47 ways as a sum of consecutive naturals, for example, 358113262 + ... + 358117138.

Almost surely, 2^{1388412630400} is an apocalyptic number.

1388412630400 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 1388412630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887158120400).

1388412630400 is an abundant number, since it is smaller than the sum of its proper divisors (2385903610400).

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

1388412630400 is a wasteful number, since it uses less digits than its factorization.

1388412630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 1388412630400 in words is "one trillion, three hundred eighty-eight billion, four hundred twelve million, six hundred thirty thousand, four hundred".