4102358400 has 1440 divisors, whose sum is σ = 19627482600. Its totient is φ = 836075520.

The previous prime is 4102358389. The next prime is 4102358401. The reversal of 4102358400 is 48532014.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102358401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 215913591 + ... + 215913609.

Almost surely, 2^4102358400 is an apocalyptic number.

4102358400 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 4102358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9813741300).

4102358400 is an abundant number, since it is smaller than the sum of its proper divisors (15525124200).

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

4102358400 is a wasteful number, since it uses less digits than its factorization.

4102358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4102358400 is about 64049.6557367797. The cubic root of 4102358400 is about 1600.8274886320.

The spelling of 4102358400 in words is "four billion, one hundred two million, three hundred fifty-eight thousand, four hundred".