4077115033920 has 448 divisors, whose sum is σ = 13688998133760. Its totient is φ = 1026050015232.

The previous prime is 4077115033913. The next prime is 4077115033933. The reversal of 4077115033920 is 293305117704.

4077115033920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027755777 + ... + 1027759743.

Almost surely, 2^{4077115033920} is an apocalyptic number.

4077115033920 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 4077115033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844499066880).

4077115033920 is an abundant number, since it is smaller than the sum of its proper divisors (9611883099840).

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

4077115033920 is a wasteful number, since it uses less digits than its factorization.

4077115033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 4077115033920 in words is "four trillion, seventy-seven billion, one hundred fifteen million, thirty-three thousand, nine hundred twenty".