4130077248 has 560 divisors, whose sum is σ = 14445471744. Its totient is φ = 1154165760.

The previous prime is 4130077229. The next prime is 4130077277. The reversal of 4130077248 is 8427700314.

It is a happy number.

4130077248 is a `hidden beast` number, since 41 + 300 + 77 + 248 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61642911 + ... + 61642977.

Almost surely, 2^4130077248 is an apocalyptic number.

4130077248 is a gapful number since it is divisible by the number (48) 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 4130077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222735872).

4130077248 is an abundant number, since it is smaller than the sum of its proper divisors (10315394496).

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

4130077248 is a wasteful number, since it uses less digits than its factorization.

4130077248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

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

The square root of 4130077248 is about 64265.6770601540. The cubic root of 4130077248 is about 1604.4248930864.

The spelling of 4130077248 in words is "four billion, one hundred thirty million, seventy-seven thousand, two hundred forty-eight".