42451242600 has 384 divisors, whose sum is σ = 151350312960. Its totient is φ = 9760988160.

The previous prime is 42451242599. The next prime is 42451242619. The reversal of 42451242600 is 624215424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7711449 + ... + 7716951.

It is an arithmetic number, because the mean of its divisors is an integer number (394141440).

Almost surely, 2^42451242600 is an apocalyptic number.

42451242600 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 42451242600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75675156480).

42451242600 is an abundant number, since it is smaller than the sum of its proper divisors (108899070360).

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

42451242600 is a wasteful number, since it uses less digits than its factorization.

42451242600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 42451242600 in words is "forty-two billion, four hundred fifty-one million, two hundred forty-two thousand, six hundred".