4012282880 has 176 divisors, whose sum is σ = 10526754816. Its totient is φ = 1460797440.

The previous prime is 4012282861. The next prime is 4012282913. The reversal of 4012282880 is 882822104.

It is a self number, because there is not a number n which added to its sum of digits gives 4012282880.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2697497 + ... + 2698983.

Almost surely, 2^4012282880 is an apocalyptic number.

4012282880 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 4012282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263377408).

4012282880 is an abundant number, since it is smaller than the sum of its proper divisors (6514471936).

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

4012282880 is a wasteful number, since it uses less digits than its factorization.

4012282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 4012282880 is about 63342.5834648382. The cubic root of 4012282880 is about 1589.0242130619.

The spelling of 4012282880 in words is "four billion, twelve million, two hundred eighty-two thousand, eight hundred eighty".