4102978464 has 576 divisors, whose sum is σ = 14265538560. Its totient is φ = 1107025920.

The previous prime is 4102978457. The next prime is 4102978469. The reversal of 4102978464 is 4648792014.

It is not an unprimeable number, because it can be changed into a prime (4102978469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77414662 + ... + 77414714.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^4102978464 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 4102978464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132769280).

4102978464 is an abundant number, since it is smaller than the sum of its proper divisors (10162560096).

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

4102978464 is a wasteful number, since it uses less digits than its factorization.

4102978464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4102978464 is about 64054.4960482869. The cubic root of 4102978464 is about 1600.9081386218.

The spelling of 4102978464 in words is "four billion, one hundred two million, nine hundred seventy-eight thousand, four hundred sixty-four".