4012778880 has 640 divisors, whose sum is σ = 16208501760. Its totient is φ = 937267200.

The previous prime is 4012778873. The next prime is 4012778893. The reversal of 4012778880 is 888772104.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4012778880² = 32204788679548108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17677327 + ... + 17677553.

It is an arithmetic number, because the mean of its divisors is an integer number (25325784).

Almost surely, 2^4012778880 is an apocalyptic number.

4012778880 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 4012778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104250880).

4012778880 is an abundant number, since it is smaller than the sum of its proper divisors (12195722880).

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

4012778880 is a wasteful number, since it uses less digits than its factorization.

4012778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 4012778880 is about 63346.4985614833. The cubic root of 4012778880 is about 1589.0896889649.

The spelling of 4012778880 in words is "four billion, twelve million, seven hundred seventy-eight thousand, eight hundred eighty".