40312331332400 has 120 divisors (see below), whose sum is σ = 97095666729600. Its totient is φ = 16084123340800.

The previous prime is 40312331332381. The next prime is 40312331332433. The reversal of 40312331332400 is 423313321304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442358840 + ... + 442449960.

It is an arithmetic number, because the mean of its divisors is an integer number (809130556080).

Almost surely, 2^{40312331332400} is an apocalyptic number.

40312331332400 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 40312331332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48547833364800).

40312331332400 is an abundant number, since it is smaller than the sum of its proper divisors (56783335397200).

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

40312331332400 is a wasteful number, since it uses less digits than its factorization.

40312331332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93927 (or 93916 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 40312331332400 its reverse (423313321304), we get a palindrome (40735644653704).

The spelling of 40312331332400 in words is "forty trillion, three hundred twelve billion, three hundred thirty-one million, three hundred thirty-two thousand, four hundred".