40793014080 has 672 divisors, whose sum is σ = 178296588288. Its totient is φ = 8327577600.

The previous prime is 40793014057. The next prime is 40793014091. The reversal of 40793014080 is 8041039704.

It is a happy number.

40793014080 is a `hidden beast` number, since 407 + 9 + 30 + 140 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8121970 + ... + 8126990.

It is an arithmetic number, because the mean of its divisors is an integer number (265322304).

Almost surely, 2^40793014080 is an apocalyptic number.

40793014080 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 40793014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89148294144).

40793014080 is an abundant number, since it is smaller than the sum of its proper divisors (137503574208).

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

40793014080 is a wasteful number, since it uses less digits than its factorization.

40793014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 40793014080 in words is "forty billion, seven hundred ninety-three million, fourteen thousand, eighty".