38368182493440 has 432 divisors, whose sum is σ = 137344877429760. Its totient is φ = 9878871490560.

The previous prime is 38368182493379. The next prime is 38368182493463. The reversal of 38368182493440 is 4439428186383.

38368182493440 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 8 + 182 + 4 + 9 + 3 + 440 = 666.

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, 156653314 + ... + 156898046.

Almost surely, 2^{38368182493440} is an apocalyptic number.

38368182493440 is a gapful number since it is divisible by the number (30) 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 38368182493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68672438714880).

38368182493440 is an abundant number, since it is smaller than the sum of its proper divisors (98976694936320).

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

38368182493440 is a wasteful number, since it uses less digits than its factorization.

38368182493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245230 (or 245213 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 38368182493440 in words is "thirty-eight trillion, three hundred sixty-eight billion, one hundred eighty-two million, four hundred ninety-three thousand, four hundred forty".