42101134400 has 84 divisors (see below), whose sum is σ = 111564013092. Its totient is φ = 15545026560.

The previous prime is 42101134373. The next prime is 42101134403. The reversal of 42101134400 is 443110124.

It can be written as a sum of positive squares in 6 ways, for example, as 4966302784 + 37134831616 = 70472^2 + 192704^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42101134403) 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, 991247 + ... + 1032846.

It is an arithmetic number, because the mean of its divisors is an integer number (1328143013).

Almost surely, 2^42101134400 is an apocalyptic number.

42101134400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42101134400 is an abundant number, since it is smaller than the sum of its proper divisors (69462878692).

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

42101134400 is a wasteful number, since it uses less digits than its factorization.

42101134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024128 (or 2024113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42101134400 its reverse (443110124), we get a palindrome (42544244524).

The spelling of 42101134400 in words is "forty-two billion, one hundred one million, one hundred thirty-four thousand, four hundred".