4251105040 has 160 divisors (see below), whose sum is σ = 12220217856. Its totient is φ = 1339269120.

The previous prime is 4251105013. The next prime is 4251105059. The reversal of 4251105040 is 405011524.

It is a super-2 number, since 2×4251105040² = 36143788122226803200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1753269 + ... + 1755691.

Almost surely, 2^4251105040 is an apocalyptic number.

4251105040 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 4251105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110108928).

4251105040 is an abundant number, since it is smaller than the sum of its proper divisors (7969112816).

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

4251105040 is a wasteful number, since it uses less digits than its factorization.

4251105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 4251105040 is about 65200.4987710984. The cubic root of 4251105040 is about 1619.9462767329.

Adding to 4251105040 its reverse (405011524), we get a palindrome (4656116564).

The spelling of 4251105040 in words is "four billion, two hundred fifty-one million, one hundred five thousand, forty".