4032340400 has 60 divisors (see below), whose sum is σ = 10568409144. Its totient is φ = 1466304000.

The previous prime is 4032340399. The next prime is 4032340439. The reversal of 4032340400 is 40432304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 453821 + ... + 462620.

Almost surely, 2^4032340400 is an apocalyptic number.

4032340400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4032340400 is an abundant number, since it is smaller than the sum of its proper divisors (6536068744).

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

4032340400 is a wasteful number, since it uses less digits than its factorization.

4032340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916470 (or 916459 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4032340400 is about 63500.7118070341. The cubic root of 4032340400 is about 1591.6676726082.

Adding to 4032340400 its reverse (40432304), we get a palindrome (4072772704).

The spelling of 4032340400 in words is "four billion, thirty-two million, three hundred forty thousand, four hundred".