4077282908160 has 2304 divisors, whose sum is σ = 19023359846400. Its totient is φ = 809321103360.

The previous prime is 4077282908147. The next prime is 4077282908177. The reversal of 4077282908160 is 618092827704.

It is a happy number.

4077282908160 is a `hidden beast` number, since 407 + 72 + 8 + 2 + 9 + 0 + 8 + 160 = 666.

4077282908160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4077282908097 and 4077282908106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5386106502 + ... + 5386107258.

It is an arithmetic number, because the mean of its divisors is an integer number (8256666600).

Almost surely, 2^{4077282908160} is an apocalyptic number.

4077282908160 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 4077282908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9511679923200).

4077282908160 is an abundant number, since it is smaller than the sum of its proper divisors (14946076938240).

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

4077282908160 is a wasteful number, since it uses less digits than its factorization.

4077282908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4077282908160 in words is "four trillion, seventy-seven billion, two hundred eighty-two million, nine hundred eight thousand, one hundred sixty".