432141523240 has 192 divisors, whose sum is σ = 1187084626560. Its totient is φ = 140899207680.

The previous prime is 432141523211. The next prime is 432141523271. The reversal of 432141523240 is 42325141234.

It is a super-2 number, since 2×432141523240² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7771135 + ... + 7826545.

It is an arithmetic number, because the mean of its divisors is an integer number (6182732430).

Almost surely, 2^432141523240 is an apocalyptic number.

432141523240 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 432141523240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593542313280).

432141523240 is an abundant number, since it is smaller than the sum of its proper divisors (754943103320).

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

432141523240 is a wasteful number, since it uses less digits than its factorization.

432141523240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55632 (or 55621 counting only the distinct ones).

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

Adding to 432141523240 its reverse (42325141234), we get a palindrome (474466664474).

The spelling of 432141523240 in words is "four hundred thirty-two billion, one hundred forty-one million, five hundred twenty-three thousand, two hundred forty".