4158525690 has 256 divisors, whose sum is σ = 12766740480. Its totient is φ = 954849600.

The previous prime is 4158525653. The next prime is 4158525691. The reversal of 4158525690 is 965258514.

4158525690 is a `hidden beast` number, since 4 + 1 + 5 + 85 + 2 + 569 + 0 = 666.

It is a super-2 number, since 2×4158525690² = 34586671828779952200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4158525691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88479247 + ... + 88479293.

It is an arithmetic number, because the mean of its divisors is an integer number (49870080).

Almost surely, 2^4158525690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4158525690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383370240).

4158525690 is an abundant number, since it is smaller than the sum of its proper divisors (8608214790).

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

4158525690 is a wasteful number, since it uses less digits than its factorization.

4158525690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 4158525690 is about 64486.6318704893. The cubic root of 4158525690 is about 1608.1002875188.

The spelling of 4158525690 in words is "four billion, one hundred fifty-eight million, five hundred twenty-five thousand, six hundred ninety".