38775008240640 has 880 divisors, whose sum is σ = 163920255273984. Its totient is φ = 8576940441600.

The previous prime is 38775008240629. The next prime is 38775008240681. The reversal of 38775008240640 is 4604280057783.

38775008240640 is a `hidden beast` number, since 3 + 8 + 77 + 50 + 0 + 82 + 406 + 40 = 666.

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 79 ways as a sum of consecutive naturals, for example, 89778810 + ... + 90209670.

Almost surely, 2^{38775008240640} is an apocalyptic number.

38775008240640 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 38775008240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81960127636992).

38775008240640 is an abundant number, since it is smaller than the sum of its proper divisors (125145247033344).

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

38775008240640 is a wasteful number, since it uses less digits than its factorization.

38775008240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430936 (or 430909 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 38775008240640 in words is "thirty-eight trillion, seven hundred seventy-five billion, eight million, two hundred forty thousand, six hundred forty".