4106456200 has 192 divisors, whose sum is σ = 12030480000. Its totient is φ = 1266278400.

The previous prime is 4106456191. The next prime is 4106456201. The reversal of 4106456200 is 26546014.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4106456201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1492426 + ... + 1495174.

It is an arithmetic number, because the mean of its divisors is an integer number (62658750).

Almost surely, 2^4106456200 is an apocalyptic number.

4106456200 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 4106456200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015240000).

4106456200 is an abundant number, since it is smaller than the sum of its proper divisors (7924023800).

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

4106456200 is a wasteful number, since it uses less digits than its factorization.

4106456200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4106456200 is about 64081.6369953203. The cubic root of 4106456200 is about 1601.3603274904.

The spelling of 4106456200 in words is "four billion, one hundred six million, four hundred fifty-six thousand, two hundred".