40886838720 has 2688 divisors, whose sum is σ = 210151065600. Its totient is φ = 7357464576.

The previous prime is 40886838689. The next prime is 40886838731. The reversal of 40886838720 is 2783868804.

40886838720 is a `hidden beast` number, since 408 + 86 + 83 + 87 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1777688629 + ... + 1777688651.

It is an arithmetic number, because the mean of its divisors is an integer number (78181200).

Almost surely, 2^40886838720 is an apocalyptic number.

40886838720 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 40886838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105075532800).

40886838720 is an abundant number, since it is smaller than the sum of its proper divisors (169264226880).

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

40886838720 is a wasteful number, since it uses less digits than its factorization.

40886838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 40886838720 in words is "forty billion, eight hundred eighty-six million, eight hundred thirty-eight thousand, seven hundred twenty".