138398042400 has 288 divisors, whose sum is σ = 460950497280. Its totient is φ = 36051870720.

The previous prime is 138398042383. The next prime is 138398042429. The reversal of 138398042400 is 4240893831.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88772821 + ... + 88774379.

It is an arithmetic number, because the mean of its divisors is an integer number (1600522560).

Almost surely, 2^138398042400 is an apocalyptic number.

138398042400 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 138398042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230475248640).

138398042400 is an abundant number, since it is smaller than the sum of its proper divisors (322552454880).

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

138398042400 is a wasteful number, since it uses less digits than its factorization.

138398042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 138398042400 in words is "one hundred thirty-eight billion, three hundred ninety-eight million, forty-two thousand, four hundred".