40997511072 has 240 divisors, whose sum is σ = 137999961792. Its totient is φ = 11696348160.

The previous prime is 40997511059. The next prime is 40997511077. The reversal of 40997511072 is 27011579904.

40997511072 is a `hidden beast` number, since 40 + 9 + 97 + 511 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (40997511077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17290047 + ... + 17292417.

Almost surely, 2^40997511072 is an apocalyptic number.

40997511072 is a gapful number since it is divisible by the number (42) 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 40997511072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68999980896).

40997511072 is an abundant number, since it is smaller than the sum of its proper divisors (97002450720).

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

40997511072 is a wasteful number, since it uses less digits than its factorization.

40997511072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 40997511072 in words is "forty billion, nine hundred ninety-seven million, five hundred eleven thousand, seventy-two".