344312554040 has 128 divisors (see below), whose sum is σ = 965551104000. Its totient is φ = 107589800448.

The previous prime is 344312554031. The next prime is 344312554043. The reversal of 344312554040 is 40455213443.

It is a super-2 number, since 2×344312554040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344312554043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311120 + ... + 886239.

It is an arithmetic number, because the mean of its divisors is an integer number (7543368000).

Almost surely, 2^344312554040 is an apocalyptic number.

It is an amenable number.

344312554040 is an abundant number, since it is smaller than the sum of its proper divisors (621238549960).

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

344312554040 is a wasteful number, since it uses less digits than its factorization.

344312554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197469 (or 1197465 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 344312554040 its reverse (40455213443), we get a palindrome (384767767483).

The spelling of 344312554040 in words is "three hundred forty-four billion, three hundred twelve million, five hundred fifty-four thousand, forty".