211434399280 has 240 divisors, whose sum is σ = 546383422080. Its totient is φ = 76021051392.

The previous prime is 211434399229. The next prime is 211434399313. The reversal of 211434399280 is 82993434112.

It is a self number, because there is not a number n which added to its sum of digits gives 211434399280.

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, 145515034 + ... + 145516486.

It is an arithmetic number, because the mean of its divisors is an integer number (2276597592).

Almost surely, 2^211434399280 is an apocalyptic number.

211434399280 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 211434399280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273191711040).

211434399280 is an abundant number, since it is smaller than the sum of its proper divisors (334949022800).

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

211434399280 is a wasteful number, since it uses less digits than its factorization.

211434399280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 211434399280 in words is "two hundred eleven billion, four hundred thirty-four million, three hundred ninety-nine thousand, two hundred eighty".