40481137800 has 384 divisors, whose sum is σ = 155414160000. Its totient is φ = 9624821760.

The previous prime is 40481137777. The next prime is 40481137813. The reversal of 40481137800 is 873118404.

40481137800 is a `hidden beast` number, since 40 + 481 + 137 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1732596 + ... + 1755804.

It is an arithmetic number, because the mean of its divisors is an integer number (404724375).

Almost surely, 2^40481137800 is an apocalyptic number.

40481137800 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 40481137800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77707080000).

40481137800 is an abundant number, since it is smaller than the sum of its proper divisors (114933022200).

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

40481137800 is a wasteful number, since it uses less digits than its factorization.

40481137800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23270 (or 23255 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 40481137800 in words is "forty billion, four hundred eighty-one million, one hundred thirty-seven thousand, eight hundred".