4101464052 has 288 divisors, whose sum is σ = 13335920640. Its totient is φ = 1083741120.

The previous prime is 4101464039. The next prime is 4101464077. The reversal of 4101464052 is 2504641014.

4101464052 is a `hidden beast` number, since 4 + 1 + 0 + 14 + 640 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3772653 + ... + 3773739.

It is an arithmetic number, because the mean of its divisors is an integer number (46305280).

Almost surely, 2^4101464052 is an apocalyptic number.

4101464052 is a gapful number since it is divisible by the number (42) 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 4101464052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667960320).

4101464052 is an abundant number, since it is smaller than the sum of its proper divisors (9234456588).

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

4101464052 is a wasteful number, since it uses less digits than its factorization.

4101464052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4101464052 is about 64042.6736793523. The cubic root of 4101464052 is about 1600.7111489743.

The spelling of 4101464052 in words is "four billion, one hundred one million, four hundred sixty-four thousand, fifty-two".