42591241200 has 120 divisors (see below), whose sum is σ = 137338062976. Its totient is φ = 11282400000.

The previous prime is 42591241177. The next prime is 42591241211. The reversal of 42591241200 is 214219524.

42591241200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63675 + ... + 298725.

Almost surely, 2^42591241200 is an apocalyptic number.

42591241200 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 42591241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68669031488).

42591241200 is an abundant number, since it is smaller than the sum of its proper divisors (94746821776).

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

42591241200 is a wasteful number, since it uses less digits than its factorization.

42591241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235223 (or 235212 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 42591241200 in words is "forty-two billion, five hundred ninety-one million, two hundred forty-one thousand, two hundred".