42801512448 has 240 divisors, whose sum is σ = 119037006144. Its totient is φ = 13668188160.

The previous prime is 42801512447. The next prime is 42801512449. The reversal of 42801512448 is 84421510824.

It is an interprime number because it is at equal distance from previous prime (42801512447) and next prime (42801512449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42801512447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135020386 + ... + 135020702.

Almost surely, 2^42801512448 is an apocalyptic number.

42801512448 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 42801512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59518503072).

42801512448 is an abundant number, since it is smaller than the sum of its proper divisors (76235493696).

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

42801512448 is an equidigital number, since it uses as much as digits as its factorization.

42801512448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 42801512448 in words is "forty-two billion, eight hundred one million, five hundred twelve thousand, four hundred forty-eight".