40638408960 has 288 divisors, whose sum is σ = 132745536000. Its totient is φ = 10592944128.

The previous prime is 40638408857. The next prime is 40638408961. The reversal of 40638408960 is 6980483604.

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

It is not an unprimeable number, because it can be changed into a prime (40638408961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33065626 + ... + 33066854.

It is an arithmetic number, because the mean of its divisors is an integer number (460922000).

Almost surely, 2^40638408960 is an apocalyptic number.

40638408960 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 40638408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66372768000).

40638408960 is an abundant number, since it is smaller than the sum of its proper divisors (92107127040).

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

40638408960 is a wasteful number, since it uses less digits than its factorization.

40638408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 40638408960 in words is "forty billion, six hundred thirty-eight million, four hundred eight thousand, nine hundred sixty".