7138402381000 has 192 divisors, whose sum is σ = 18366272346240. Its totient is φ = 2594958608000.

The previous prime is 7138402380961. The next prime is 7138402381037. The reversal of 7138402381000 is 1832048317.

It is a super-2 number, since 2×7138402381000² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 484839639 + ... + 484854361.

It is an arithmetic number, because the mean of its divisors is an integer number (95657668470).

Almost surely, 2^{7138402381000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7138402381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9183136173120).

7138402381000 is an abundant number, since it is smaller than the sum of its proper divisors (11227869965240).

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

7138402381000 is a wasteful number, since it uses less digits than its factorization.

7138402381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18773 (or 18748 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 7138402381000 in words is "seven trillion, one hundred thirty-eight billion, four hundred two million, three hundred eighty-one thousand".