4032012400 has 180 divisors, whose sum is σ = 11085934552. Its totient is φ = 1400647680.

The previous prime is 4032012373. The next prime is 4032012403. The reversal of 4032012400 is 42102304.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032012403) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1501459 + ... + 1504141.

Almost surely, 2^4032012400 is an apocalyptic number.

4032012400 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 4032012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542967276).

4032012400 is an abundant number, since it is smaller than the sum of its proper divisors (7053922152).

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

4032012400 is a wasteful number, since it uses less digits than its factorization.

4032012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2720 counting only the distinct ones).

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

The square root of 4032012400 is about 63498.1291062973. The cubic root of 4032012400 is about 1591.6245147809.

Adding to 4032012400 its reverse (42102304), we get a palindrome (4074114704).

The spelling of 4032012400 in words is "four billion, thirty-two million, twelve thousand, four hundred".