432412351132400 has 240 divisors, whose sum is σ = 1077987152025600. Its totient is φ = 166510969574400.

The previous prime is 432412351132373. The next prime is 432412351132423. The reversal of 432412351132400 is 4231153214234.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14896886687 + ... + 14896915713.

It is an arithmetic number, because the mean of its divisors is an integer number (4491613133440).

Almost surely, 2^{432412351132400} is an apocalyptic number.

432412351132400 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 432412351132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538993576012800).

432412351132400 is an abundant number, since it is smaller than the sum of its proper divisors (645574800893200).

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

432412351132400 is a wasteful number, since it uses less digits than its factorization.

432412351132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35312 (or 35301 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 432412351132400 in words is "four hundred thirty-two trillion, four hundred twelve billion, three hundred fifty-one million, one hundred thirty-two thousand, four hundred".