344100404040000 has 560 divisors, whose sum is σ = 1171739552668608. Its totient is φ = 89026781184000.

The previous prime is 344100404039911. The next prime is 344100404040031. The reversal of 344100404040000 is 40404001443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1567210227 + ... + 1567429773.

Almost surely, 2^{344100404040000} is an apocalyptic number.

344100404040000 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 344100404040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585869776334304).

344100404040000 is an abundant number, since it is smaller than the sum of its proper divisors (827639148628608).

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

344100404040000 is a wasteful number, since it uses less digits than its factorization.

344100404040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219972 (or 219947 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 344100404040000 its reverse (40404001443), we get a palindrome (344140808041443).

The spelling of 344100404040000 in words is "three hundred forty-four trillion, one hundred billion, four hundred four million, forty thousand".