4043485440 has 288 divisors, whose sum is σ = 14540198400. Its totient is φ = 1063895040.

The previous prime is 4043485423. The next prime is 4043485451. The reversal of 4043485440 is 445843404.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4043485395 and 4043485404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2729500 + ... + 2730980.

It is an arithmetic number, because the mean of its divisors is an integer number (50486800).

Almost surely, 2^4043485440 is an apocalyptic number.

4043485440 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 4043485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270099200).

4043485440 is an abundant number, since it is smaller than the sum of its proper divisors (10496712960).

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

4043485440 is a wasteful number, since it uses less digits than its factorization.

4043485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 4043485440 is about 63588.4064904916. The cubic root of 4043485440 is about 1593.1327342486.

The spelling of 4043485440 in words is "four billion, forty-three million, four hundred eighty-five thousand, four hundred forty".