40801112640 has 280 divisors, whose sum is σ = 145428370560. Its totient is φ = 10858447872.

The previous prime is 40801112617. The next prime is 40801112711. The reversal of 40801112640 is 4621110804.

It is a happy number.

40801112640 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 1 + 1 + 12 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16043209 + ... + 16045751.

Almost surely, 2^40801112640 is an apocalyptic number.

40801112640 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 40801112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72714185280).

40801112640 is an abundant number, since it is smaller than the sum of its proper divisors (104627257920).

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

40801112640 is a wasteful number, since it uses less digits than its factorization.

40801112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 40801112640 in words is "forty billion, eight hundred one million, one hundred twelve thousand, six hundred forty".