211142023400 has 288 divisors, whose sum is σ = 624145677120. Its totient is φ = 65013273600.

The previous prime is 211142023399. The next prime is 211142023423. The reversal of 211142023400 is 4320241112.

It is a super-2 number, since 2×211142023400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 14052692 + ... + 14067708.

It is an arithmetic number, because the mean of its divisors is an integer number (2167172490).

Almost surely, 2^211142023400 is an apocalyptic number.

211142023400 is a gapful number since it is divisible by the number (20) 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 211142023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312072838560).

211142023400 is an abundant number, since it is smaller than the sum of its proper divisors (413003653720).

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

211142023400 is a wasteful number, since it uses less digits than its factorization.

211142023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15145 (or 15125 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211142023400 its reverse (4320241112), we get a palindrome (215462264512).

The spelling of 211142023400 in words is "two hundred eleven billion, one hundred forty-two million, twenty-three thousand, four hundred".