4200002402400 has 432 divisors, whose sum is σ = 17203497843168. Its totient is φ = 944262144000.

The previous prime is 4200002402347. The next prime is 4200002402413. The reversal of 4200002402400 is 42042000024.

4200002402400 is a `hidden beast` number, since 4 + 20 + 0 + 0 + 0 + 240 + 2 + 400 = 666.

4200002402400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2391340 + ... + 3757460.

It is an arithmetic number, because the mean of its divisors is an integer number (39822911674).

Almost surely, 2^{4200002402400} is an apocalyptic number.

4200002402400 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 4200002402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601748921584).

4200002402400 is an abundant number, since it is smaller than the sum of its proper divisors (13003495440768).

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

4200002402400 is a wasteful number, since it uses less digits than its factorization.

4200002402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366215 (or 1366199 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 4200002402400 its reverse (42042000024), we get a palindrome (4242044402424).

It can be divided in two parts, 420000 and 2402400, that added together give a square (2822400 = 1680²).

The spelling of 4200002402400 in words is "four trillion, two hundred billion, two million, four hundred two thousand, four hundred".