4200362496 has 240 divisors, whose sum is σ = 13328789760. Its totient is φ = 1262837760.

The previous prime is 4200362479. The next prime is 4200362497. The reversal of 4200362496 is 6942630024.

4200362496 is a `hidden beast` number, since 4 + 20 + 0 + 3 + 624 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4200362496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200362497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8768785 + ... + 8769263.

It is an arithmetic number, because the mean of its divisors is an integer number (55536624).

Almost surely, 2^4200362496 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 4200362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664394880).

4200362496 is an abundant number, since it is smaller than the sum of its proper divisors (9128427264).

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

4200362496 is a wasteful number, since it uses less digits than its factorization.

4200362496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4200362496 is about 64810.2036410934. The cubic root of 4200362496 is about 1613.4750622630.

The spelling of 4200362496 in words is "four billion, two hundred million, three hundred sixty-two thousand, four hundred ninety-six".