4542290258688 has 1440 divisors, whose sum is σ = 17606963673600. Its totient is φ = 1128355577856.

The previous prime is 4542290258663. The next prime is 4542290258731. The reversal of 4542290258688 is 8868520922454.

4542290258688 is a `hidden beast` number, since 4 + 5 + 42 + 2 + 9 + 0 + 2 + 586 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26256012970 + ... + 26256013142.

Almost surely, 2^{4542290258688} is an apocalyptic number.

4542290258688 is a gapful number since it is divisible by the number (48) 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 4542290258688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8803481836800).

4542290258688 is an abundant number, since it is smaller than the sum of its proper divisors (13064673414912).

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

4542290258688 is an equidigital number, since it uses as much as digits as its factorization.

4542290258688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 4542290258688 in words is "four trillion, five hundred forty-two billion, two hundred ninety million, two hundred fifty-eight thousand, six hundred eighty-eight".