4077899712 has 252 divisors, whose sum is σ = 12394189080. Its totient is φ = 1281346560.

The previous prime is 4077899689. The next prime is 4077899713. The reversal of 4077899712 is 2179987704.

It is a super-2 number, since 2×4077899712² = 33258532122259365888, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077899713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29337339 + ... + 29337477.

It is an arithmetic number, because the mean of its divisors is an integer number (49183290).

Almost surely, 2^4077899712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4077899712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197094540).

4077899712 is an abundant number, since it is smaller than the sum of its proper divisors (8316289368).

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

4077899712 is a wasteful number, since it uses less digits than its factorization.

4077899712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The square root of 4077899712 is about 63858.4349322781. The cubic root of 4077899712 is about 1597.6397115277.

The spelling of 4077899712 in words is "four billion, seventy-seven million, eight hundred ninety-nine thousand, seven hundred twelve".