4268749440 has 256 divisors, whose sum is σ = 14059059840. Its totient is φ = 1101004800.

The previous prime is 4268749349. The next prime is 4268749483. The reversal of 4268749440 is 449478624.

It is a super-3 number, since 3×4268749440³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4268749440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16609792 + ... + 16610048.

Almost surely, 2^4268749440 is an apocalyptic number.

4268749440 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 4268749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029529920).

4268749440 is an abundant number, since it is smaller than the sum of its proper divisors (9790310400).

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

4268749440 is a wasteful number, since it uses less digits than its factorization.

4268749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 4268749440 is about 65335.6674412989. The cubic root of 4268749440 is about 1622.1844027240.

The spelling of 4268749440 in words is "four billion, two hundred sixty-eight million, seven hundred forty-nine thousand, four hundred forty".