4077160513920 has 512 divisors, whose sum is σ = 15569468006400. Its totient is φ = 1002398146560.

The previous prime is 4077160513891. The next prime is 4077160513999. The reversal of 4077160513920 is 293150617704.

4077160513920 is a `hidden beast` number, since 4 + 0 + 7 + 7 + 1 + 605 + 1 + 39 + 2 + 0 = 666.

It is a super-3 number, since 3×4077160513920³ (a number of 39 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193853805 + ... + 193874835.

It is an arithmetic number, because the mean of its divisors is an integer number (30409117200).

Almost surely, 2^{4077160513920} is an apocalyptic number.

4077160513920 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 4077160513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7784734003200).

4077160513920 is an abundant number, since it is smaller than the sum of its proper divisors (11492307492480).

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

4077160513920 is a wasteful number, since it uses less digits than its factorization.

4077160513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21935 (or 21917 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 4077160513920 in words is "four trillion, seventy-seven billion, one hundred sixty million, five hundred thirteen thousand, nine hundred twenty".