4014266880 has 320 divisors, whose sum is σ = 14277086208. Its totient is φ = 955514880.

The previous prime is 4014266821. The next prime is 4014266887. The reversal of 4014266880 is 886624104.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×4014266880² = 32228677167729868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4014266887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3094392 + ... + 3095688.

Almost surely, 2^4014266880 is an apocalyptic number.

4014266880 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 4014266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138543104).

4014266880 is an abundant number, since it is smaller than the sum of its proper divisors (10262819328).

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

4014266880 is a wasteful number, since it uses less digits than its factorization.

4014266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1351 counting only the distinct ones).

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

The square root of 4014266880 is about 63358.2423998646. The cubic root of 4014266880 is about 1589.2860843072.

The spelling of 4014266880 in words is "four billion, fourteen million, two hundred sixty-six thousand, eight hundred eighty".