4077897880320 has 864 divisors, whose sum is σ = 16364610662400. Its totient is φ = 927722864640.

The previous prime is 4077897880319. The next prime is 4077897880337. The reversal of 4077897880320 is 230887987704.

4077897880320 is a `hidden beast` number, since 407 + 7 + 89 + 78 + 80 + 3 + 2 + 0 = 666.

4077897880320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4077897880320² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154458481 + ... + 154484879.

It is an arithmetic number, because the mean of its divisors is an integer number (18940521600).

Almost surely, 2^{4077897880320} is an apocalyptic number.

4077897880320 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 4077897880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182305331200).

4077897880320 is an abundant number, since it is smaller than the sum of its proper divisors (12286712782080).

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

4077897880320 is a wasteful number, since it uses less digits than its factorization.

4077897880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26513 (or 26496 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 4077897880320 in words is "four trillion, seventy-seven billion, eight hundred ninety-seven million, eight hundred eighty thousand, three hundred twenty".