4130626752 has 336 divisors, whose sum is σ = 14778167040. Its totient is φ = 1117504512.

The previous prime is 4130626751. The next prime is 4130626777. The reversal of 4130626752 is 2576260314.

4130626752 is a `hidden beast` number, since 41 + 306 + 267 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (4130626751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2067418 + ... + 2069414.

It is an arithmetic number, because the mean of its divisors is an integer number (43982640).

Almost surely, 2^4130626752 is an apocalyptic number.

4130626752 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 4130626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389083520).

4130626752 is an abundant number, since it is smaller than the sum of its proper divisors (10647540288).

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

4130626752 is a wasteful number, since it uses less digits than its factorization.

4130626752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4130626752 is about 64269.9521705128. The cubic root of 4130626752 is about 1604.4960458152.

The spelling of 4130626752 in words is "four billion, one hundred thirty million, six hundred twenty-six thousand, seven hundred fifty-two".