1432226880 has 672 divisors, whose sum is σ = 6254496000. Its totient is φ = 306561024.

The previous prime is 1432226867. The next prime is 1432226881. The reversal of 1432226880 is 886222341.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1432226881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7197021 + ... + 7197219.

Almost surely, 2^1432226880 is an apocalyptic number.

1432226880 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 1432226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127248000).

1432226880 is an abundant number, since it is smaller than the sum of its proper divisors (4822269120).

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

1432226880 is a wasteful number, since it uses less digits than its factorization.

1432226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1432226880 is about 37844.7734832698. The cubic root of 1432226880 is about 1127.2076826216.

The spelling of 1432226880 in words is "one billion, four hundred thirty-two million, two hundred twenty-six thousand, eight hundred eighty".