40142140727200 has 288 divisors, whose sum is σ = 107663574090240. Its totient is φ = 14547154406400.

The previous prime is 40142140727191. The next prime is 40142140727309. The reversal of 40142140727200 is 272704124104.

It is a super-2 number, since 2×40142140727200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2051093415 + ... + 2051112985.

It is an arithmetic number, because the mean of its divisors is an integer number (373831854480).

Almost surely, 2^{40142140727200} is an apocalyptic number.

40142140727200 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 40142140727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53831787045120).

40142140727200 is an abundant number, since it is smaller than the sum of its proper divisors (67521433363040).

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

40142140727200 is a wasteful number, since it uses less digits than its factorization.

40142140727200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25500 (or 25487 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The spelling of 40142140727200 in words is "forty trillion, one hundred forty-two billion, one hundred forty million, seven hundred twenty-seven thousand, two hundred".