1632421440 has 336 divisors, whose sum is σ = 6157569600. Its totient is φ = 394481664.

The previous prime is 1632421411. The next prime is 1632421457. The reversal of 1632421440 is 441242361.

It is a happy number.

1632421440 is a `hidden beast` number, since 1 + 632 + 4 + 21 + 4 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2208591 + ... + 2209329.

It is an arithmetic number, because the mean of its divisors is an integer number (18326100).

Almost surely, 2^1632421440 is an apocalyptic number.

1632421440 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 1632421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078784800).

1632421440 is an abundant number, since it is smaller than the sum of its proper divisors (4525148160).

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

1632421440 is a wasteful number, since it uses less digits than its factorization.

1632421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1632421440 is about 40403.2355140031. The cubic root of 1632421440 is about 1177.4543993592.

The spelling of 1632421440 in words is "one billion, six hundred thirty-two million, four hundred twenty-one thousand, four hundred forty".