38295355681440 has 2304 divisors, whose sum is σ = 165165464862720. Its totient is φ = 8205649920000.

The previous prime is 38295355681417. The next prime is 38295355681501. The reversal of 38295355681440 is 4418655359283.

38295355681440 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 53 + 5 + 568 + 14 + 4 + 0 = 666.

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, 25144684519 + ... + 25144686041.

It is an arithmetic number, because the mean of its divisors is an integer number (71686399680).

Almost surely, 2^{38295355681440} is an apocalyptic number.

38295355681440 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 38295355681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82582732431360).

38295355681440 is an abundant number, since it is smaller than the sum of its proper divisors (126870109181280).

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

38295355681440 is a wasteful number, since it uses less digits than its factorization.

38295355681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 38295355681440 in words is "thirty-eight trillion, two hundred ninety-five billion, three hundred fifty-five million, six hundred eighty-one thousand, four hundred forty".