40160097600 has 672 divisors, whose sum is σ = 158606800896. Its totient is φ = 8698060800.

The previous prime is 40160097599. The next prime is 40160097617. The reversal of 40160097600 is 679006104.

It is a happy number.

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

It is a super-2 number, since 2×40160097600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 121329435 + ... + 121329765.

Almost surely, 2^40160097600 is an apocalyptic number.

40160097600 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 40160097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79303400448).

40160097600 is an abundant number, since it is smaller than the sum of its proper divisors (118446703296).

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

40160097600 is a wasteful number, since it uses less digits than its factorization.

40160097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 40160097600 in words is "forty billion, one hundred sixty million, ninety-seven thousand, six hundred".