40811818320 has 960 divisors, whose sum is σ = 178608568320. Its totient is φ = 8119222272.

The previous prime is 40811818253. The next prime is 40811818321. The reversal of 40811818320 is 2381811804.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40811818321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89303532 + ... + 89303988.

It is an arithmetic number, because the mean of its divisors is an integer number (186050592).

Almost surely, 2^40811818320 is an apocalyptic number.

40811818320 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 40811818320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89304284160).

40811818320 is an abundant number, since it is smaller than the sum of its proper divisors (137796750000).

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

40811818320 is a wasteful number, since it uses less digits than its factorization.

40811818320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 40811818320 in words is "forty billion, eight hundred eleven million, eight hundred eighteen thousand, three hundred twenty".