41138331840 has 560 divisors, whose sum is σ = 155725489920. Its totient is φ = 10279249920.

The previous prime is 41138331811. The next prime is 41138331881. The reversal of 41138331840 is 4813383114.

It is a happy number.

41138331840 is a `hidden beast` number, since 411 + 38 + 33 + 184 + 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 = 41138331795 and 41138331804.

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, 50725035 + ... + 50725845.

It is an arithmetic number, because the mean of its divisors is an integer number (278081232).

Almost surely, 2^41138331840 is an apocalyptic number.

41138331840 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 41138331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77862744960).

41138331840 is an abundant number, since it is smaller than the sum of its proper divisors (114587158080).

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

41138331840 is a wasteful number, since it uses less digits than its factorization.

41138331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41138331840 in words is "forty-one billion, one hundred thirty-eight million, three hundred thirty-one thousand, eight hundred forty".