42541031800 has 24 divisors (see below), whose sum is σ = 98907899400. Its totient is φ = 17016412640.

The previous prime is 42541031777. The next prime is 42541031801. The reversal of 42541031800 is 813014524.

42541031800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42541031800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42541031801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106352380 + ... + 106352779.

It is an arithmetic number, because the mean of its divisors is an integer number (4121162475).

Almost surely, 2^42541031800 is an apocalyptic number.

42541031800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42541031800 is an abundant number, since it is smaller than the sum of its proper divisors (56366867600).

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

42541031800 is a wasteful number, since it uses less digits than its factorization.

42541031800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212705175 (or 212705166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

It can be divided in two parts, 4254103 and 1800, that added together give a triangular number (4255903 = T₂₉₁₇).

The spelling of 42541031800 in words is "forty-two billion, five hundred forty-one million, thirty-one thousand, eight hundred".