4211061400 has 192 divisors, whose sum is σ = 12101100480. Its totient is φ = 1327104000.

The previous prime is 4211061299. The next prime is 4211061431. The reversal of 4211061400 is 41601124.

It is a super-2 number, since 2×4211061400² = 35466076229139920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7297912 + ... + 7298488.

It is an arithmetic number, because the mean of its divisors is an integer number (63026565).

Almost surely, 2^4211061400 is an apocalyptic number.

4211061400 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 4211061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050550240).

4211061400 is an abundant number, since it is smaller than the sum of its proper divisors (7890039080).

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

4211061400 is a wasteful number, since it uses less digits than its factorization.

4211061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4211061400 is about 64892.6914220700. The cubic root of 4211061400 is about 1614.8438154705.

Adding to 4211061400 its reverse (41601124), we get a palindrome (4252662524).

The spelling of 4211061400 in words is "four billion, two hundred eleven million, sixty-one thousand, four hundred".