4268916480 has 144 divisors (see below), whose sum is σ = 13660133760. Its totient is φ = 1136185344.

The previous prime is 4268916419. The next prime is 4268916539. The reversal of 4268916480 is 846198624.

It is a super-3 number, since 3×4268916480³ (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3390091 + ... + 3391349.

It is an arithmetic number, because the mean of its divisors is an integer number (94862040).

Almost surely, 2^4268916480 is an apocalyptic number.

4268916480 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 4268916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830066880).

4268916480 is an abundant number, since it is smaller than the sum of its proper divisors (9391217280).

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

4268916480 is a wasteful number, since it uses less digits than its factorization.

4268916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 4268916480 is about 65336.9457504711. The cubic root of 4268916480 is about 1622.2055616256.

The spelling of 4268916480 in words is "four billion, two hundred sixty-eight million, nine hundred sixteen thousand, four hundred eighty".