1385112422400 has 576 divisors, whose sum is σ = 5355007257600. Its totient is φ = 309224079360.

The previous prime is 1385112422399. The next prime is 1385112422401. The reversal of 1385112422400 is 42242115831.

It is an interprime number because it is at equal distance from previous prime (1385112422399) and next prime (1385112422401).

It is not an unprimeable number, because it can be changed into a prime (1385112422401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46218621 + ... + 46248579.

It is an arithmetic number, because the mean of its divisors is an integer number (9296887600).

Almost surely, 2^{1385112422400} is an apocalyptic number.

1385112422400 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 1385112422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677503628800).

1385112422400 is an abundant number, since it is smaller than the sum of its proper divisors (3969894835200).

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

1385112422400 is a wasteful number, since it uses less digits than its factorization.

1385112422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30044 (or 30019 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 1385112422400 in words is "one trillion, three hundred eighty-five billion, one hundred twelve million, four hundred twenty-two thousand, four hundred".