4016145280 has 128 divisors (see below), whose sum is σ = 11618354880. Its totient is φ = 1295941632.

The previous prime is 4016145271. The next prime is 4016145293. The reversal of 4016145280 is 825416104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4016145280² = 32258845820132556800, which contains 22 as substring.

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, 49794 + ... + 102526.

Almost surely, 2^4016145280 is an apocalyptic number.

4016145280 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 4016145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809177440).

4016145280 is an abundant number, since it is smaller than the sum of its proper divisors (7602209600).

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

4016145280 is a wasteful number, since it uses less digits than its factorization.

4016145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52776 (or 52764 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 4016145280 is about 63373.0643096892. The cubic root of 4016145280 is about 1589.5339377385.

The spelling of 4016145280 in words is "four billion, sixteen million, one hundred forty-five thousand, two hundred eighty".