4101596352 has 420 divisors, whose sum is σ = 14414123064. Its totient is φ = 1149603840.

The previous prime is 4101596347. The next prime is 4101596381. The reversal of 4101596352 is 2536951014.

4101596352 is a `hidden beast` number, since 4 + 1 + 0 + 15 + 9 + 635 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17018952 + ... + 17019192.

Almost surely, 2^4101596352 is an apocalyptic number.

4101596352 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 4101596352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207061532).

4101596352 is an abundant number, since it is smaller than the sum of its proper divisors (10312526712).

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

4101596352 is a wasteful number, since it uses less digits than its factorization.

4101596352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4101596352 is about 64043.7065760563. The cubic root of 4101596352 is about 1600.7283600486.

The spelling of 4101596352 in words is "four billion, one hundred one million, five hundred ninety-six thousand, three hundred fifty-two".