4014487680 has 384 divisors, whose sum is σ = 15120120960. Its totient is φ = 903168000.

The previous prime is 4014487651. The next prime is 4014487691. The reversal of 4014487680 is 867844104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4014487680² = 32232222665743564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6679380 + ... + 6679980.

It is an arithmetic number, because the mean of its divisors is an integer number (39375315).

Almost surely, 2^4014487680 is an apocalyptic number.

4014487680 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 4014487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560060480).

4014487680 is an abundant number, since it is smaller than the sum of its proper divisors (11105633280).

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

4014487680 is a wasteful number, since it uses less digits than its factorization.

4014487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 4014487680 is about 63359.9848484830. The cubic root of 4014487680 is about 1589.3152227065.

The spelling of 4014487680 in words is "four billion, fourteen million, four hundred eighty-seven thousand, six hundred eighty".