42025541200 has 60 divisors (see below), whose sum is σ = 103428997308. Its totient is φ = 16400204800.

The previous prime is 42025541183. The next prime is 42025541209. The reversal of 42025541200 is 214552024.

42025541200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1353945616 + 40671595584 = 36796^2 + 201672^2 .

It is a super-2 number, since 2×42025541200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42025541209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1264867 + ... + 1297666.

Almost surely, 2^42025541200 is an apocalyptic number.

42025541200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42025541200 is an abundant number, since it is smaller than the sum of its proper divisors (61403456108).

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

42025541200 is a wasteful number, since it uses less digits than its factorization.

42025541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562592 (or 2562581 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 42025541200 in words is "forty-two billion, twenty-five million, five hundred forty-one thousand, two hundred".