42025744200 has 432 divisors, whose sum is σ = 152195102640. Its totient is φ = 9583974400.

The previous prime is 42025744193. The next prime is 42025744213. The reversal of 42025744200 is 244752024.

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 107 ways as a sum of consecutive naturals, for example, 20980399 + ... + 20982401.

Almost surely, 2^42025744200 is an apocalyptic number.

42025744200 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 42025744200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76097551320).

42025744200 is an abundant number, since it is smaller than the sum of its proper divisors (110169358440).

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

42025744200 is a wasteful number, since it uses less digits than its factorization.

42025744200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The spelling of 42025744200 in words is "forty-two billion, twenty-five million, seven hundred forty-four thousand, two hundred".