4277130480 has 280 divisors, whose sum is σ = 17041251552. Its totient is φ = 977536512.

The previous prime is 4277130479. The next prime is 4277130503. The reversal of 4277130480 is 840317724.

It is a happy number.

4277130480 is a `hidden beast` number, since 4 + 277 + 1 + 304 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 403002 + ... + 413478.

Almost surely, 2^4277130480 is an apocalyptic number.

4277130480 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 4277130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520625776).

4277130480 is an abundant number, since it is smaller than the sum of its proper divisors (12764121072).

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

4277130480 is a wasteful number, since it uses less digits than its factorization.

4277130480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10515 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4277130480 is about 65399.7743115372. The cubic root of 4277130480 is about 1623.2453461084.

The spelling of 4277130480 in words is "four billion, two hundred seventy-seven million, one hundred thirty thousand, four hundred eighty".