40131531452000 has 96 divisors (see below), whose sum is σ = 98643657621600. Its totient is φ = 16046021644800.

The previous prime is 40131531451981. The next prime is 40131531452057. The reversal of 40131531452000 is 25413513104.

It is a super-2 number, since 2×40131531452000² (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 15 ways as a sum of consecutive naturals, for example, 7689551 + ... + 11806449.

It is an arithmetic number, because the mean of its divisors is an integer number (1027538100225).

Almost surely, 2^{40131531452000} is an apocalyptic number.

40131531452000 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 40131531452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49321828810800).

40131531452000 is an abundant number, since it is smaller than the sum of its proper divisors (58512126169600).

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

40131531452000 is a wasteful number, since it uses less digits than its factorization.

40131531452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119361 (or 4119343 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 40131531452000 its reverse (25413513104), we get a palindrome (40156944965104).

The spelling of 40131531452000 in words is "forty trillion, one hundred thirty-one billion, five hundred thirty-one million, four hundred fifty-two thousand".