42532416400 has 30 divisors (see below), whose sum is σ = 102184131362. Its totient is φ = 17012966400.

The previous prime is 42532416383. The next prime is 42532416401. The reversal of 42532416400 is 461423524.

It can be written as a sum of positive squares in 3 ways, for example, as 2589995664 + 39942420736 = 50892^2 + 199856^2 .

It is not an unprimeable number, because it can be changed into a prime (42532416401) 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, 53165121 + ... + 53165920.

Almost surely, 2^42532416400 is an apocalyptic number.

42532416400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42532416400 is an abundant number, since it is smaller than the sum of its proper divisors (59651714962).

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

42532416400 is a wasteful number, since it uses less digits than its factorization.

42532416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106331059 (or 106331048 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 42532416400 its reverse (461423524), we get a palindrome (42993839924).

The spelling of 42532416400 in words is "forty-two billion, five hundred thirty-two million, four hundred sixteen thousand, four hundred".