4149649440 has 480 divisors, whose sum is σ = 15483227760. Its totient is φ = 1045094400.

The previous prime is 4149649417. The next prime is 4149649447. The reversal of 4149649440 is 449469414.

4149649440 is a `hidden beast` number, since 4 + 149 + 64 + 9 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29550096 + 4120099344 = 5436^2 + 64188^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149649447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22926150 + ... + 22926330.

Almost surely, 2^4149649440 is an apocalyptic number.

4149649440 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 4149649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741613880).

4149649440 is an abundant number, since it is smaller than the sum of its proper divisors (11333578320).

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

4149649440 is a wasteful number, since it uses less digits than its factorization.

4149649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4149649440 is about 64417.7727028807. The cubic root of 4149649440 is about 1606.9553250136.

The spelling of 4149649440 in words is "four billion, one hundred forty-nine million, six hundred forty-nine thousand, four hundred forty".