41538698400 has 144 divisors (see below), whose sum is σ = 135698752224. Its totient is φ = 11036820480.

The previous prime is 41538698387. The next prime is 41538698417. The reversal of 41538698400 is 489683514.

41538698400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41538698400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633559 + ... + 696041.

It is an arithmetic number, because the mean of its divisors is an integer number (942352446).

Almost surely, 2^41538698400 is an apocalyptic number.

41538698400 is a gapful number since it is divisible by the number (40) 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 41538698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67849376112).

41538698400 is an abundant number, since it is smaller than the sum of its proper divisors (94160053824).

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

41538698400 is a wasteful number, since it uses less digits than its factorization.

41538698400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62783 (or 62770 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 41538698400 in words is "forty-one billion, five hundred thirty-eight million, six hundred ninety-eight thousand, four hundred".