40160823852128 has 384 divisors, whose sum is σ = 94140264185856. Its totient is φ = 16513346304000.

The previous prime is 40160823852103. The next prime is 40160823852151. The reversal of 40160823852128 is 82125832806104.

It is a super-2 number, since 2×40160823852128² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30264373001 + ... + 30264374327.

It is an arithmetic number, because the mean of its divisors is an integer number (245156937984).

Almost surely, 2^{40160823852128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40160823852128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47070132092928).

40160823852128 is an abundant number, since it is smaller than the sum of its proper divisors (53979440333728).

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

40160823852128 is a wasteful number, since it uses less digits than its factorization.

40160823852128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 50.

The spelling of 40160823852128 in words is "forty trillion, one hundred sixty billion, eight hundred twenty-three million, eight hundred fifty-two thousand, one hundred twenty-eight".