4334144040320 has 64 divisors (see below), whose sum is σ = 10536928664400. Its totient is φ = 1704273573888.

The previous prime is 4334144040311. The next prime is 4334144040323. The reversal of 4334144040320 is 230404414334.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334144040323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57352919 + ... + 57428438.

Almost surely, 2^{4334144040320} is an apocalyptic number.

4334144040320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334144040320 is an abundant number, since it is smaller than the sum of its proper divisors (6202784624080).

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

4334144040320 is a wasteful number, since it uses less digits than its factorization.

4334144040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114781435 (or 114781423 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4334144040320 its reverse (230404414334), we get a palindrome (4564548454654).

The spelling of 4334144040320 in words is "four trillion, three hundred thirty-four billion, one hundred forty-four million, forty thousand, three hundred twenty".