42132450400 has 36 divisors (see below), whose sum is σ = 102855846492. Its totient is φ = 16852979840.

The previous prime is 42132450383. The next prime is 42132450407. The reversal of 42132450400 is 405423124.

It is a happy number.

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 (42132450407) 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, 26331982 + ... + 26333581.

It is an arithmetic number, because the mean of its divisors is an integer number (2857106847).

Almost surely, 2^42132450400 is an apocalyptic number.

42132450400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42132450400 is an abundant number, since it is smaller than the sum of its proper divisors (60723396092).

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

42132450400 is a wasteful number, since it uses less digits than its factorization.

42132450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52665583 (or 52665570 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 42132450400 its reverse (405423124), we get a palindrome (42537873524).

The spelling of 42132450400 in words is "forty-two billion, one hundred thirty-two million, four hundred fifty thousand, four hundred".