6231434358240 has 1152 divisors, whose sum is σ = 27365143680000. Its totient is φ = 1312710561792.

The previous prime is 6231434358211. The next prime is 6231434358299. The reversal of 6231434358240 is 428534341326.

6231434358240 is a `hidden beast` number, since 6 + 2 + 3 + 14 + 343 + 58 + 240 = 666.

It is a super-2 number, since 2×6231434358240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2308792411 + ... + 2308795109.

It is an arithmetic number, because the mean of its divisors is an integer number (23754465000).

Almost surely, 2^{6231434358240} is an apocalyptic number.

6231434358240 is a gapful number since it is divisible by the number (60) 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 6231434358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13682571840000).

6231434358240 is an abundant number, since it is smaller than the sum of its proper divisors (21133709321760).

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

6231434358240 is a wasteful number, since it uses less digits than its factorization.

6231434358240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 6231434358240 its reverse (428534341326), we get a palindrome (6659968699566).

The spelling of 6231434358240 in words is "six trillion, two hundred thirty-one billion, four hundred thirty-four million, three hundred fifty-eight thousand, two hundred forty".