4657243573440 has 1120 divisors, whose sum is σ = 18035171472384. Its totient is φ = 1136226631680.

The previous prime is 4657243573399. The next prime is 4657243573441. The reversal of 4657243573440 is 443753427564.

4657243573440 is a `hidden beast` number, since 4 + 6 + 5 + 7 + 24 + 3 + 573 + 4 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4657243573441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5134777467 + ... + 5134778373.

Almost surely, 2^{4657243573440} is an apocalyptic number.

4657243573440 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 4657243573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017585736192).

4657243573440 is an abundant number, since it is smaller than the sum of its proper divisors (13377927898944).

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

4657243573440 is a wasteful number, since it uses less digits than its factorization.

4657243573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 54.

The spelling of 4657243573440 in words is "four trillion, six hundred fifty-seven billion, two hundred forty-three million, five hundred seventy-three thousand, four hundred forty".