4102132400 has 60 divisors (see below), whose sum is σ = 9861774312. Its totient is φ = 1639787520.

The previous prime is 4102132399. The next prime is 4102132417. The reversal of 4102132400 is 42312014.

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, 964679 + ... + 968921.

Almost surely, 2^4102132400 is an apocalyptic number.

4102132400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102132400 is an abundant number, since it is smaller than the sum of its proper divisors (5759641912).

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

4102132400 is a wasteful number, since it uses less digits than its factorization.

4102132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6678 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4102132400 is about 64047.8914563157. The cubic root of 4102132400 is about 1600.7980914234.

Adding to 4102132400 its reverse (42312014), we get a palindrome (4144444414).

The spelling of 4102132400 in words is "four billion, one hundred two million, one hundred thirty-two thousand, four hundred".