6240400705344 has 224 divisors, whose sum is σ = 18964532958336. Its totient is φ = 1793982136320.

The previous prime is 6240400705309. The next prime is 6240400705393. The reversal of 6240400705344 is 4435070040426.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5276439 + ... + 6349929.

It is an arithmetic number, because the mean of its divisors is an integer number (84663093564).

Almost surely, 2^{6240400705344} is an apocalyptic number.

6240400705344 is a gapful number since it is divisible by the number (64) 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 6240400705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9482266479168).

6240400705344 is an abundant number, since it is smaller than the sum of its proper divisors (12724132252992).

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

6240400705344 is a wasteful number, since it uses less digits than its factorization.

6240400705344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073673 (or 1073663 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 6240400705344 in words is "six trillion, two hundred forty billion, four hundred million, seven hundred five thousand, three hundred forty-four".