43132200400 has 90 divisors (see below), whose sum is σ = 104394681222. Its totient is φ = 17125689600.

The previous prime is 43132200379. The next prime is 43132200421. The reversal of 43132200400 is 400223134.

It is an interprime number because it is at equal distance from previous prime (43132200379) and next prime (43132200421).

It can be written as a sum of positive squares in 3 ways, for example, as 1039933504 + 42092266896 = 32248^2 + 205164^2 .

It is a super-2 number, since 2×43132200400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7725610 + ... + 7731190.

Almost surely, 2^43132200400 is an apocalyptic number.

43132200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43132200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52197340611).

43132200400 is an abundant number, since it is smaller than the sum of its proper divisors (61262480822).

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

43132200400 is a wasteful number, since it uses less digits than its factorization.

43132200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 43132200400 its reverse (400223134), we get a palindrome (43532423534).

The spelling of 43132200400 in words is "forty-three billion, one hundred thirty-two million, two hundred thousand, four hundred".