38440022999040 has 1024 divisors, whose sum is σ = 147548246227200. Its totient is φ = 9438958190592.

The previous prime is 38440022999029. The next prime is 38440022999087. The reversal of 38440022999040 is 4099922004483.

38440022999040 is a `hidden beast` number, since 3 + 8 + 4 + 400 + 22 + 99 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43533434439 + ... + 43533435321.

Almost surely, 2^{38440022999040} is an apocalyptic number.

38440022999040 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 38440022999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73774123113600).

38440022999040 is an abundant number, since it is smaller than the sum of its proper divisors (109108223228160).

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

38440022999040 is an equidigital number, since it uses as much as digits as its factorization.

38440022999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 38440022999040 in words is "thirty-eight trillion, four hundred forty billion, twenty-two million, nine hundred ninety-nine thousand, forty".