138235427366400 has 4800 divisors, whose sum is σ = 656392990826496. Its totient is φ = 27948810240000.

The previous prime is 138235427366389. The next prime is 138235427366441. The reversal of 138235427366400 is 4663724532831.

138235427366400 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 3 + 542 + 7 + 36 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 441646732644 + ... + 441646732956.

Almost surely, 2^{138235427366400} is an apocalyptic number.

138235427366400 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 138235427366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328196495413248).

138235427366400 is an abundant number, since it is smaller than the sum of its proper divisors (518157563460096).

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

138235427366400 is a wasteful number, since it uses less digits than its factorization.

138235427366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 138235427366400 in words is "one hundred thirty-eight trillion, two hundred thirty-five billion, four hundred twenty-seven million, three hundred sixty-six thousand, four hundred".