211126636440 has 48 divisors (see below), whose sum is σ = 686161569600. Its totient is φ = 56300436288.

The previous prime is 211126636423. The next prime is 211126636459. The reversal of 211126636440 is 44636621112.

211126636440 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 2 + 6 + 6 + 3 + 644 + 0 = 666.

It is a super-2 number, since 2×211126636440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 211126636395 and 211126636404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293231080 + ... + 293231799.

It is an arithmetic number, because the mean of its divisors is an integer number (14295032700).

Almost surely, 2^211126636440 is an apocalyptic number.

211126636440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211126636440 is an abundant number, since it is smaller than the sum of its proper divisors (475034933160).

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

211126636440 is a wasteful number, since it uses less digits than its factorization.

211126636440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586462896 (or 586462889 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 211126636440 in words is "two hundred eleven billion, one hundred twenty-six million, six hundred thirty-six thousand, four hundred forty".