38941064400 has 480 divisors, whose sum is σ = 149460870400. Its totient is φ = 8656865280.

The previous prime is 38941064381. The next prime is 38941064417. The reversal of 38941064400 is 446014983.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15227922 + ... + 15230478.

Almost surely, 2^38941064400 is an apocalyptic number.

38941064400 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 38941064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74730435200).

38941064400 is an abundant number, since it is smaller than the sum of its proper divisors (110519806000).

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

38941064400 is a wasteful number, since it uses less digits than its factorization.

38941064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 38941064400 in words is "thirty-eight billion, nine hundred forty-one million, sixty-four thousand, four hundred".