4149563040 has 288 divisors, whose sum is σ = 16895511360. Its totient is φ = 948423168.

The previous prime is 4149563039. The next prime is 4149563141. The reversal of 4149563040 is 403659414.

4149563040 is a `hidden beast` number, since 4 + 14 + 9 + 5 + 630 + 4 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 4149562986 and 4149563004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201879 + ... + 221481.

It is an arithmetic number, because the mean of its divisors is an integer number (58664970).

Almost surely, 2^4149563040 is an apocalyptic number.

4149563040 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 4149563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8447755680).

4149563040 is an abundant number, since it is smaller than the sum of its proper divisors (12745948320).

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

4149563040 is a wasteful number, since it uses less digits than its factorization.

4149563040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19641 (or 19620 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4149563040 is about 64417.1020770106. The cubic root of 4149563040 is about 1606.9441721113.

The spelling of 4149563040 in words is "four billion, one hundred forty-nine million, five hundred sixty-three thousand, forty".