344402214040 has 64 divisors (see below), whose sum is σ = 801239040000. Its totient is φ = 133094133120.

The previous prime is 344402214019. The next prime is 344402214059. The reversal of 344402214040 is 40412204443.

It is a super-2 number, since 2×344402214040² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510921 + ... + 974599.

It is an arithmetic number, because the mean of its divisors is an integer number (12519360000).

Almost surely, 2^344402214040 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 344402214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400619520000).

344402214040 is an abundant number, since it is smaller than the sum of its proper divisors (456836825960).

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

344402214040 is a wasteful number, since it uses less digits than its factorization.

344402214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464320 (or 464316 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 344402214040 its reverse (40412204443), we get a palindrome (384814418483).

The spelling of 344402214040 in words is "three hundred forty-four billion, four hundred two million, two hundred fourteen thousand, forty".