40181696000 has 160 divisors (see below), whose sum is σ = 100735775712. Its totient is φ = 15986073600.

The previous prime is 40181695999. The next prime is 40181696081. The reversal of 40181696000 is 69618104.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×40181696000² (a number of 22 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 15 ways as a sum of consecutive naturals, for example, 12606407 + ... + 12609593.

Almost surely, 2^40181696000 is an apocalyptic number.

40181696000 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 40181696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50367887856).

40181696000 is an abundant number, since it is smaller than the sum of its proper divisors (60554079712).

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

40181696000 is an equidigital number, since it uses as much as digits as its factorization.

40181696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 40181696000 in words is "forty billion, one hundred eighty-one million, six hundred ninety-six thousand".