38521416240 has 400 divisors, whose sum is σ = 143246188800. Its totient is φ = 9564977664.

The previous prime is 38521416233. The next prime is 38521416287. The reversal of 38521416240 is 4261412583.

It is a happy number.

38521416240 is a `hidden beast` number, since 3 + 8 + 5 + 21 + 4 + 1 + 624 + 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 = 38521416195 and 38521416204.

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, 7261429 + ... + 7266731.

It is an arithmetic number, because the mean of its divisors is an integer number (358115472).

Almost surely, 2^38521416240 is an apocalyptic number.

38521416240 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 38521416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71623094400).

38521416240 is an abundant number, since it is smaller than the sum of its proper divisors (104724772560).

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

38521416240 is a wasteful number, since it uses less digits than its factorization.

38521416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 38521416240 in words is "thirty-eight billion, five hundred twenty-one million, four hundred sixteen thousand, two hundred forty".