344031434404240 has 160 divisors (see below), whose sum is σ = 875226991637376. Its totient is φ = 124724209274880.

The previous prime is 344031434404219. The next prime is 344031434404283. The reversal of 344031434404240 is 42404434130443.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 344031434404193 and 344031434404202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2269665094 + ... + 2269816666.

Almost surely, 2^{344031434404240} 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 344031434404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437613495818688).

344031434404240 is an abundant number, since it is smaller than the sum of its proper divisors (531195557233136).

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

344031434404240 is a wasteful number, since it uses less digits than its factorization.

344031434404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159377 (or 159371 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 344031434404240 its reverse (42404434130443), we get a palindrome (386435868534683).

The spelling of 344031434404240 in words is "three hundred forty-four trillion, thirty-one billion, four hundred thirty-four million, four hundred four thousand, two hundred forty".