4216100400 has 360 divisors, whose sum is σ = 15131921376. Its totient is φ = 1086566400.

The previous prime is 4216100389. The next prime is 4216100429. The reversal of 4216100400 is 40016124.

4216100400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

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, 16030669 + ... + 16030931.

Almost surely, 2^4216100400 is an apocalyptic number.

4216100400 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 4216100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7565960688).

4216100400 is an abundant number, since it is smaller than the sum of its proper divisors (10915820976).

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

4216100400 is a wasteful number, since it uses less digits than its factorization.

4216100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4216100400 is about 64931.5054499740. The cubic root of 4216100400 is about 1615.4876717088.

Adding to 4216100400 its reverse (40016124), we get a palindrome (4256116524).

The spelling of 4216100400 in words is "four billion, two hundred sixteen million, one hundred thousand, four hundred".