4158677484 has 192 divisors, whose sum is σ = 11885690880. Its totient is φ = 1249758720.

The previous prime is 4158677431. The next prime is 4158677491. The reversal of 4158677484 is 4847768514.

4158677484 is a `hidden beast` number, since 4 + 15 + 86 + 77 + 484 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4158677484.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14799424 + ... + 14799704.

It is an arithmetic number, because the mean of its divisors is an integer number (61904640).

Almost surely, 2^4158677484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4158677484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942845440).

4158677484 is an abundant number, since it is smaller than the sum of its proper divisors (7727013396).

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

4158677484 is a wasteful number, since it uses less digits than its factorization.

4158677484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The square root of 4158677484 is about 64487.8088013541. The cubic root of 4158677484 is about 1608.1198535079.

The spelling of 4158677484 in words is "four billion, one hundred fifty-eight million, six hundred seventy-seven thousand, four hundred eighty-four".