4102463040 has 224 divisors, whose sum is σ = 14090635776. Its totient is φ = 1005281280.

The previous prime is 4102462961. The next prime is 4102463059. The reversal of 4102463040 is 403642014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4102463040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3381474 + ... + 3382686.

It is an arithmetic number, because the mean of its divisors is an integer number (62904624).

Almost surely, 2^4102463040 is an apocalyptic number.

4102463040 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 4102463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045317888).

4102463040 is an abundant number, since it is smaller than the sum of its proper divisors (9988172736).

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

4102463040 is a wasteful number, since it uses less digits than its factorization.

4102463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4102463040 is about 64050.4725977881. The cubic root of 4102463040 is about 1600.8410994340.

The spelling of 4102463040 in words is "four billion, one hundred two million, four hundred sixty-three thousand, forty".