4102842240 has 512 divisors, whose sum is σ = 16814822400. Its totient is φ = 926097408.

The previous prime is 4102842229. The next prime is 4102842259. The reversal of 4102842240 is 422482014.

4102842240 is a `hidden beast` number, since 410 + 2 + 8 + 4 + 2 + 240 = 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 63 ways as a sum of consecutive naturals, for example, 12942562 + ... + 12942878.

It is an arithmetic number, because the mean of its divisors is an integer number (32841450).

Almost surely, 2^4102842240 is an apocalyptic number.

4102842240 is a gapful number since it is divisible by the number (40) 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 4102842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407411200).

4102842240 is an abundant number, since it is smaller than the sum of its proper divisors (12711980160).

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

4102842240 is a wasteful number, since it uses less digits than its factorization.

4102842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4102842240 is about 64053.4326948993. The cubic root of 4102842240 is about 1600.8904210437.

The spelling of 4102842240 in words is "four billion, one hundred two million, eight hundred forty-two thousand, two hundred forty".