38850401405640 has 256 divisors, whose sum is σ = 128666018315520. Its totient is φ = 9306057277440.

The previous prime is 38850401405593. The next prime is 38850401405671. The reversal of 38850401405640 is 4650410405883.

It is a self number, because there is not a number n which added to its sum of digits gives 38850401405640.

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, 78754794 + ... + 79246566.

It is an arithmetic number, because the mean of its divisors is an integer number (502601634045).

Almost surely, 2^{38850401405640} is an apocalyptic number.

38850401405640 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 38850401405640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64333009157760).

38850401405640 is an abundant number, since it is smaller than the sum of its proper divisors (89815616909880).

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

38850401405640 is a wasteful number, since it uses less digits than its factorization.

38850401405640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492512 (or 492508 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 38850401405640 in words is "thirty-eight trillion, eight hundred fifty billion, four hundred one million, four hundred five thousand, six hundred forty".