211402362040050 has 192 divisors, whose sum is σ = 546516090731520. Its totient is φ = 54021136896000.

The previous prime is 211402362040039. The next prime is 211402362040073. The reversal of 211402362040050 is 50040263204112.

It is a super-2 number, since 2×211402362040050² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195565446 + ... + 196643454.

It is an arithmetic number, because the mean of its divisors is an integer number (2846437972560).

Almost surely, 2^{211402362040050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211402362040050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273258045365760).

211402362040050 is an abundant number, since it is smaller than the sum of its proper divisors (335113728691470).

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

211402362040050 is a wasteful number, since it uses less digits than its factorization.

211402362040050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078469 (or 1078464 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 211402362040050 in words is "two hundred eleven trillion, four hundred two billion, three hundred sixty-two million, forty thousand, fifty".