4569431408640 has 864 divisors, whose sum is σ = 18778666233600. Its totient is φ = 1044186660864.

The previous prime is 4569431408639. The next prime is 4569431408677. The reversal of 4569431408640 is 468041349654.

4569431408640 is a `hidden beast` number, since 4 + 56 + 9 + 431 + 40 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×4569431408640³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114765311 + ... + 1114769409.

It is an arithmetic number, because the mean of its divisors is an integer number (21734567400).

Almost surely, 2^{4569431408640} is an apocalyptic number.

4569431408640 is a gapful number since it is divisible by the number (40) 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 4569431408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389333116800).

4569431408640 is an abundant number, since it is smaller than the sum of its proper divisors (14209234824960).

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

4569431408640 is an frugal number, since it uses more digits than its factorization.

4569431408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4569431408640 in words is "four trillion, five hundred sixty-nine billion, four hundred thirty-one million, four hundred eight thousand, six hundred forty".