312410040000 has 560 divisors, whose sum is σ = 1079789356800. Its totient is φ = 79589888000.

The previous prime is 312410039927. The next prime is 312410040001. The reversal of 312410040000 is 40014213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (312410040001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 372359581 + ... + 372360419.

It is an arithmetic number, because the mean of its divisors is an integer number (1928195280).

Almost surely, 2^312410040000 is an apocalyptic number.

312410040000 is a gapful number since it is divisible by the number (30) 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 312410040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539894678400).

312410040000 is an abundant number, since it is smaller than the sum of its proper divisors (767379316800).

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

312410040000 is a wasteful number, since it uses less digits than its factorization.

312410040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 312410040000 its reverse (40014213), we get a palindrome (312450054213).

The spelling of 312410040000 in words is "three hundred twelve billion, four hundred ten million, forty thousand".