4077912960 has 288 divisors, whose sum is σ = 15480705240. Its totient is φ = 988416000.

The previous prime is 4077912953. The next prime is 4077912967. The reversal of 4077912960 is 692197704.

It is an interprime number because it is at equal distance from previous prime (4077912953) and next prime (4077912967).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077912967) 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, 694035 + ... + 699885.

Almost surely, 2^4077912960 is an apocalyptic number.

4077912960 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 4077912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740352620).

4077912960 is an abundant number, since it is smaller than the sum of its proper divisors (11402792280).

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

4077912960 is a wasteful number, since it uses less digits than its factorization.

4077912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 4077912960 is about 63858.5386616387. The cubic root of 4077912960 is about 1597.6414416265.

The spelling of 4077912960 in words is "four billion, seventy-seven million, nine hundred twelve thousand, nine hundred sixty".