344241421012440 has 256 divisors, whose sum is σ = 1329360218956800. Its totient is φ = 77605893614592.

The previous prime is 344241421012421. The next prime is 344241421012469. The reversal of 344241421012440 is 44210124142443.

344241421012440 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 414 + 210 + 1 + 24 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344241421012395 and 344241421012404.

It is a congruent number.

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, 311328802 + ... + 312432561.

It is an arithmetic number, because the mean of its divisors is an integer number (5192813355300).

Almost surely, 2^{344241421012440} is an apocalyptic number.

344241421012440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344241421012440 is an abundant number, since it is smaller than the sum of its proper divisors (985118797944360).

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

344241421012440 is a wasteful number, since it uses less digits than its factorization.

344241421012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623761463 (or 623761453 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 344241421012440 its reverse (44210124142443), we get a palindrome (388451545154883).

The spelling of 344241421012440 in words is "three hundred forty-four trillion, two hundred forty-one billion, four hundred twenty-one million, twelve thousand, four hundred forty".