42053405200 has 30 divisors (see below), whose sum is σ = 101033306954. Its totient is φ = 16821361920.

The previous prime is 42053405171. The next prime is 42053405201. The reversal of 42053405200 is 250435024.

It can be written as a sum of positive squares in 3 ways, for example, as 5064884224 + 36988520976 = 71168^2 + 192324^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42053405201) 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, 52566357 + ... + 52567156.

Almost surely, 2^42053405200 is an apocalyptic number.

42053405200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42053405200 is an abundant number, since it is smaller than the sum of its proper divisors (58979901754).

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

42053405200 is a wasteful number, since it uses less digits than its factorization.

42053405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105133531 (or 105133520 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 42053405200 in words is "forty-two billion, fifty-three million, four hundred five thousand, two hundred".