4032120400 has 480 divisors, whose sum is σ = 12895174656. Its totient is φ = 1175040000.

The previous prime is 4032120371. The next prime is 4032120427. The reversal of 4032120400 is 40212304.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 39146749 + ... + 39146851.

Almost surely, 2^4032120400 is an apocalyptic number.

4032120400 is a gapful number since it is divisible by the number (40) 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 4032120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447587328).

4032120400 is an abundant number, since it is smaller than the sum of its proper divisors (8863054256).

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

4032120400 is a wasteful number, since it uses less digits than its factorization.

4032120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4032120400 is about 63498.9795193592. The cubic root of 4032120400 is about 1591.6387255435.

Adding to 4032120400 its reverse (40212304), we get a palindrome (4072332704).

The spelling of 4032120400 in words is "four billion, thirty-two million, one hundred twenty thousand, four hundred".