4035482400 has 144 divisors (see below), whose sum is σ = 13456201248. Its totient is φ = 1049856000.

The previous prime is 4035482387. The next prime is 4035482401. The reversal of 4035482400 is 42845304.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4035482401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 77895 + ... + 118905.

It is an arithmetic number, because the mean of its divisors is an integer number (93445842).

Almost surely, 2^4035482400 is an apocalyptic number.

4035482400 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 4035482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728100624).

4035482400 is an abundant number, since it is smaller than the sum of its proper divisors (9420718848).

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

4035482400 is a wasteful number, since it uses less digits than its factorization.

4035482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41075 (or 41062 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4035482400 is about 63525.4468697387. The cubic root of 4035482400 is about 1592.0809744761.

The spelling of 4035482400 in words is "four billion, thirty-five million, four hundred eighty-two thousand, four hundred".