4130649600 has 720 divisors, whose sum is σ = 17276227584. Its totient is φ = 851558400.

The previous prime is 4130649583. The next prime is 4130649619. The reversal of 4130649600 is 69460314.

It is a super-2 number, since 2×4130649600² = 34124532235960320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32524737 + ... + 32524863.

Almost surely, 2^4130649600 is an apocalyptic number.

4130649600 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 4130649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638113792).

4130649600 is an abundant number, since it is smaller than the sum of its proper divisors (13145577984).

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

4130649600 is a wasteful number, since it uses less digits than its factorization.

4130649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4130649600 is about 64270.1299205160. The cubic root of 4130649600 is about 1604.4990041603.

The spelling of 4130649600 in words is "four billion, one hundred thirty million, six hundred forty-nine thousand, six hundred".