4149190656 has 420 divisors, whose sum is σ = 13785213222. Its totient is φ = 1242169344.

The previous prime is 4149190627. The next prime is 4149190687. The reversal of 4149190656 is 6560919414.

It is a happy number.

4149190656 is a `hidden beast` number, since 414 + 91 + 90 + 65 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2994278400 + 1154912256 = 54720^2 + 33984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 112140270 + ... + 112140306.

Almost surely, 2^4149190656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892606611).

4149190656 is an abundant number, since it is smaller than the sum of its proper divisors (9636022566).

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

4149190656 is an equidigital number, since it uses as much as digits as its factorization.

4149190656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4149190656 is about 64414.2115996152. The cubic root of 4149190656 is about 1606.8961013310.

The spelling of 4149190656 in words is "four billion, one hundred forty-nine million, one hundred ninety thousand, six hundred fifty-six".