211139422134840 has 384 divisors, whose sum is σ = 698722211266560. Its totient is φ = 55286387315712.

The previous prime is 211139422134787. The next prime is 211139422134853. The reversal of 211139422134840 is 48431224931112.

211139422134840 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 394 + 2 + 213 + 4 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8839081377 + ... + 8839105263.

It is an arithmetic number, because the mean of its divisors is an integer number (1819589091840).

Almost surely, 2^{211139422134840} is an apocalyptic number.

211139422134840 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 211139422134840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349361105633280).

211139422134840 is an abundant number, since it is smaller than the sum of its proper divisors (487582789131720).

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

211139422134840 is a wasteful number, since it uses less digits than its factorization.

211139422134840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26011 (or 26004 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 211139422134840 in words is "two hundred eleven trillion, one hundred thirty-nine billion, four hundred twenty-two million, one hundred thirty-four thousand, eight hundred forty".