312402334101440 has 448 divisors, whose sum is σ = 889085955225600. Its totient is φ = 103210426368000.

The previous prime is 312402334101427. The next prime is 312402334101443. The reversal of 312402334101440 is 44101433204213.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 312402334101397 and 312402334101406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312402334101443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10028629865 + ... + 10028661015.

Almost surely, 2^{312402334101440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312402334101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444542977612800).

312402334101440 is an abundant number, since it is smaller than the sum of its proper divisors (576683621124160).

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

312402334101440 is a wasteful number, since it uses less digits than its factorization.

312402334101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37004 (or 36994 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 312402334101440 its reverse (44101433204213), we get a palindrome (356503767305653).

The spelling of 312402334101440 in words is "three hundred twelve trillion, four hundred two billion, three hundred thirty-four million, one hundred one thousand, four hundred forty".