140344401002312 has 256 divisors, whose sum is σ = 312337279800000. Its totient is φ = 58495806996480.

The previous prime is 140344401002251. The next prime is 140344401002353. The reversal of 140344401002312 is 213200104443041.

It can be written as a sum of positive squares in 32 ways, for example, as 88038324499876 + 52306076502436 = 9382874^2 + 7232294^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15859912064 + ... + 15859920912.

Almost surely, 2^{140344401002312} 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 140344401002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156168639900000).

140344401002312 is an abundant number, since it is smaller than the sum of its proper divisors (171992878797688).

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

140344401002312 is a wasteful number, since it uses less digits than its factorization.

140344401002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 140344401002312 its reverse (213200104443041), we get a palindrome (353544505445353).

The spelling of 140344401002312 in words is "one hundred forty trillion, three hundred forty-four billion, four hundred one million, two thousand, three hundred twelve".