4200892416 has 192 divisors, whose sum is σ = 14223081600. Its totient is φ = 1200144384.

The previous prime is 4200892369. The next prime is 4200892417. The reversal of 4200892416 is 6142980024.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200892417) 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 15 ways as a sum of consecutive naturals, for example, 381646 + ... + 392498.

It is an arithmetic number, because the mean of its divisors is an integer number (74078550).

Almost surely, 2^4200892416 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 4200892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111540800).

4200892416 is an abundant number, since it is smaller than the sum of its proper divisors (10022189184).

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

4200892416 is a wasteful number, since it uses less digits than its factorization.

4200892416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4200892416 is about 64814.2917572969. The cubic root of 4200892416 is about 1613.5429117048.

The spelling of 4200892416 in words is "four billion, two hundred million, eight hundred ninety-two thousand, four hundred sixteen".