4014626880 has 224 divisors, whose sum is σ = 14044013568. Its totient is φ = 963532800.

The previous prime is 4014626867. The next prime is 4014626927. The reversal of 4014626880 is 886264104.

It is a super-2 number, since 2×4014626880² = 32234457971237068800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085835 + ... + 1089525.

Almost surely, 2^4014626880 is an apocalyptic number.

4014626880 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 4014626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022006784).

4014626880 is an abundant number, since it is smaller than the sum of its proper divisors (10029386688).

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

4014626880 is a wasteful number, since it uses less digits than its factorization.

4014626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4014626880 is about 63361.0833240720. The cubic root of 4014626880 is about 1589.3335920178. Note that the first 3 decimals are identical.

The spelling of 4014626880 in words is "four billion, fourteen million, six hundred twenty-six thousand, eight hundred eighty".