40312002000000 has 224 divisors, whose sum is σ = 133846750802160. Its totient is φ = 10749865600000.

The previous prime is 40312001999987. The next prime is 40312002000037. The reversal of 40312002000000 is 20021304.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 40312002000000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2640667 + ... + 9359333.

Almost surely, 2^{40312002000000} is an apocalyptic number.

40312002000000 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 40312002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66923375401080).

40312002000000 is an abundant number, since it is smaller than the sum of its proper divisors (93534748802160).

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

40312002000000 is an frugal number, since it uses more digits than its factorization.

40312002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718714 (or 6718677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 40312002000000 its reverse (20021304), we get a palindrome (40312022021304).

The spelling of 40312002000000 in words is "forty trillion, three hundred twelve billion, two million", and thus it is an aban number.