4268876040 has 512 divisors, whose sum is σ = 16924723200. Its totient is φ = 943488000.

The previous prime is 4268876039. The next prime is 4268876057. The reversal of 4268876040 is 406788624.

4268876040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4268876040³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20231535 + ... + 20231745.

It is an arithmetic number, because the mean of its divisors is an integer number (33056100).

Almost surely, 2^4268876040 is an apocalyptic number.

4268876040 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 4268876040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8462361600).

4268876040 is an abundant number, since it is smaller than the sum of its proper divisors (12655847160).

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

4268876040 is a wasteful number, since it uses less digits than its factorization.

4268876040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4268876040 is about 65336.6362770536. The cubic root of 4268876040 is about 1622.2004391548.

The spelling of 4268876040 in words is "four billion, two hundred sixty-eight million, eight hundred seventy-six thousand, forty".