4158701820 has 288 divisors, whose sum is σ = 15595227648. Its totient is φ = 873524736.

The previous prime is 4158701797. The next prime is 4158701821. The reversal of 4158701820 is 281078514.

4158701820 is a `hidden beast` number, since 41 + 587 + 0 + 18 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4158701821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5028247 + ... + 5029073.

It is an arithmetic number, because the mean of its divisors is an integer number (54150096).

Almost surely, 2^4158701820 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 4158701820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797613824).

4158701820 is an abundant number, since it is smaller than the sum of its proper divisors (11436525828).

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

4158701820 is a wasteful number, since it uses less digits than its factorization.

4158701820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 4158701820 is about 64487.9974879047. The cubic root of 4158701820 is about 1608.1229903328.

The spelling of 4158701820 in words is "four billion, one hundred fifty-eight million, seven hundred one thousand, eight hundred twenty".