40187707840000 has 600 divisors, whose sum is σ = 115776449989200. Its totient is φ = 13646727168000.

The previous prime is 40187707839941. The next prime is 40187707840001. The reversal of 40187707840000 is 4870778104.

It is a super-2 number, since 2×40187707840000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40187707840001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 115814719827 + ... + 115814720173.

It is an arithmetic number, because the mean of its divisors is an integer number (192960749982).

Almost surely, 2^{40187707840000} is an apocalyptic number.

40187707840000 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 40187707840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57888224994600).

40187707840000 is an abundant number, since it is smaller than the sum of its proper divisors (75588742149200).

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

40187707840000 is an frugal number, since it uses more digits than its factorization.

40187707840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 46.

The spelling of 40187707840000 in words is "forty trillion, one hundred eighty-seven billion, seven hundred seven million, eight hundred forty thousand".