4102974336 has 128 divisors (see below), whose sum is σ = 11106086400. Its totient is φ = 1341849600.

The previous prime is 4102974329. The next prime is 4102974353. The reversal of 4102974336 is 6334792014.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4102974294 and 4102974303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6400576 + ... + 6401216.

It is an arithmetic number, because the mean of its divisors is an integer number (86766300).

Almost surely, 2^4102974336 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 4102974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553043200).

4102974336 is an abundant number, since it is smaller than the sum of its proper divisors (7003112064).

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

4102974336 is a wasteful number, since it uses less digits than its factorization.

4102974336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 4102974336 is about 64054.4638257163. The cubic root of 4102974336 is about 1600.9076017313.

The spelling of 4102974336 in words is "four billion, one hundred two million, nine hundred seventy-four thousand, three hundred thirty-six".