38814215040 has 768 divisors, whose sum is σ = 150488694720. Its totient is φ = 9523298304.

The previous prime is 38814215039. The next prime is 38814215047. The reversal of 38814215040 is 4051241883.

38814215040 is a `hidden beast` number, since 3 + 8 + 8 + 142 + 1 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38814214986 and 38814215004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38814215047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140123382 + ... + 140123658.

Almost surely, 2^38814215040 is an apocalyptic number.

38814215040 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 38814215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75244347360).

38814215040 is an abundant number, since it is smaller than the sum of its proper divisors (111674479680).

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

38814215040 is a wasteful number, since it uses less digits than its factorization.

38814215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 38814215040 in words is "thirty-eight billion, eight hundred fourteen million, two hundred fifteen thousand, forty".