138294397214400 has 2688 divisors, whose sum is σ = 559461676161024. Its totient is φ = 29251495526400.

The previous prime is 138294397214383. The next prime is 138294397214417. The reversal of 138294397214400 is 4412793492831.

It is an interprime number because it is at equal distance from previous prime (138294397214383) and next prime (138294397214417).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 410369131032 + ... + 410369131368.

It is an arithmetic number, because the mean of its divisors is an integer number (208133064048).

Almost surely, 2^{138294397214400} is an apocalyptic number.

138294397214400 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 138294397214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279730838080512).

138294397214400 is an abundant number, since it is smaller than the sum of its proper divisors (421167278946624).

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

138294397214400 is a wasteful number, since it uses less digits than its factorization.

138294397214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 138294397214400 in words is "one hundred thirty-eight trillion, two hundred ninety-four billion, three hundred ninety-seven million, two hundred fourteen thousand, four hundred".