40933648080 has 400 divisors, whose sum is σ = 153861818880. Its totient is φ = 10026187776.

The previous prime is 40933648073. The next prime is 40933648111. The reversal of 40933648080 is 8084633904.

40933648080 is a `hidden beast` number, since 4 + 0 + 93 + 3 + 6 + 480 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18784431 + ... + 18786609.

Almost surely, 2^40933648080 is an apocalyptic number.

40933648080 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 40933648080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76930909440).

40933648080 is an abundant number, since it is smaller than the sum of its proper divisors (112928170800).

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

40933648080 is a wasteful number, since it uses less digits than its factorization.

40933648080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 40933648080 in words is "forty billion, nine hundred thirty-three million, six hundred forty-eight thousand, eighty".