1432112640 has 320 divisors, whose sum is σ = 5543645184. Its totient is φ = 307888128.

The previous prime is 1432112599. The next prime is 1432112659. The reversal of 1432112640 is 462112341.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1432112640² = 4101893227295539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1432112640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913137 + ... + 914703.

Almost surely, 2^1432112640 is an apocalyptic number.

1432112640 is a gapful number since it is divisible by the number (10) 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 1432112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771822592).

1432112640 is an abundant number, since it is smaller than the sum of its proper divisors (4111532544).

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

1432112640 is a wasteful number, since it uses less digits than its factorization.

1432112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1432112640 is about 37843.2641298290. The cubic root of 1432112640 is about 1127.1777116649.

Adding to 1432112640 its reverse (462112341), we get a palindrome (1894224981).

The spelling of 1432112640 in words is "one billion, four hundred thirty-two million, one hundred twelve thousand, six hundred forty".