1432400112 has 400 divisors, whose sum is σ = 4990930560. Its totient is φ = 390873600.

The previous prime is 1432400083. The next prime is 1432400117. The reversal of 1432400112 is 2110042341.

It is a super-2 number, since 2×1432400112² = 4103540161715225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1432400117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10934287 + ... + 10934417.

Almost surely, 2^1432400112 is an apocalyptic number.

1432400112 is a gapful number since it is divisible by the number (12) 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 1432400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495465280).

1432400112 is an abundant number, since it is smaller than the sum of its proper divisors (3558530448).

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

1432400112 is a wasteful number, since it uses less digits than its factorization.

1432400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1432400112 is about 37847.0621316900. The cubic root of 1432400112 is about 1127.2531271369.

Adding to 1432400112 its reverse (2110042341), we get a palindrome (3542442453).

The spelling of 1432400112 in words is "one billion, four hundred thirty-two million, four hundred thousand, one hundred twelve".