6073831454040 has 768 divisors, whose sum is σ = 24290216755200. Its totient is φ = 1345276864512.

The previous prime is 6073831454021. The next prime is 6073831454063. The reversal of 6073831454040 is 404541383706.

6073831454040 is a `hidden beast` number, since 6 + 0 + 7 + 38 + 31 + 4 + 540 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 288985612 + ... + 289006628.

It is an arithmetic number, because the mean of its divisors is an integer number (31627886400).

Almost surely, 2^{6073831454040} is an apocalyptic number.

6073831454040 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 6073831454040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12145108377600).

6073831454040 is an abundant number, since it is smaller than the sum of its proper divisors (18216385301160).

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

6073831454040 is a wasteful number, since it uses less digits than its factorization.

6073831454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21221 (or 21204 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 6073831454040 in words is "six trillion, seventy-three billion, eight hundred thirty-one million, four hundred fifty-four thousand, forty".