211142414000 has 160 divisors (see below), whose sum is σ = 617799851136. Its totient is φ = 68133273600.

The previous prime is 211142413991. The next prime is 211142414033. The reversal of 211142414000 is 414241112.

It is a super-2 number, since 2×211142414000² (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 31 ways as a sum of consecutive naturals, for example, 205577 + ... + 681576.

Almost surely, 2^211142414000 is an apocalyptic number.

211142414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211142414000 is an abundant number, since it is smaller than the sum of its proper divisors (406657437136).

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

211142414000 is a wasteful number, since it uses less digits than its factorization.

211142414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887200 (or 887184 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211142414000 its reverse (414241112), we get a palindrome (211556655112).

The spelling of 211142414000 in words is "two hundred eleven billion, one hundred forty-two million, four hundred fourteen thousand".