1432129440 has 96 divisors (see below), whose sum is σ = 5155678080. Its totient is φ = 327343104.

The previous prime is 1432129429. The next prime is 1432129493. The reversal of 1432129440 is 449212341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1432129398 and 1432129407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209755 + ... + 216474.

It is an arithmetic number, because the mean of its divisors is an integer number (53704980).

Almost surely, 2^1432129440 is an apocalyptic number.

1432129440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1432129440 is an abundant number, since it is smaller than the sum of its proper divisors (3723548640).

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

1432129440 is a wasteful number, since it uses less digits than its factorization.

1432129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426254 (or 426246 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1432129440 is about 37843.4860973457. The cubic root of 1432129440 is about 1127.1821192585.

The spelling of 1432129440 in words is "one billion, four hundred thirty-two million, one hundred twenty-nine thousand, four hundred forty".