4189248440 has 128 divisors (see below), whose sum is σ = 10753344000. Its totient is φ = 1456040448.

The previous prime is 4189248433. The next prime is 4189248473. The reversal of 4189248440 is 448429814.

It is a junction number, because it is equal to n+sod(n) for n = 4189248391 and 4189248400.

It is a congruent number.

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, 1648691 + ... + 1651229.

It is an arithmetic number, because the mean of its divisors is an integer number (84010500).

Almost surely, 2^4189248440 is an apocalyptic number.

4189248440 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 4189248440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376672000).

4189248440 is an abundant number, since it is smaller than the sum of its proper divisors (6564095560).

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

4189248440 is a wasteful number, since it uses less digits than its factorization.

4189248440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 4189248440 is about 64724.4037438739. The cubic root of 4189248440 is about 1612.0507334816.

The spelling of 4189248440 in words is "four billion, one hundred eighty-nine million, two hundred forty-eight thousand, four hundred forty".