211142010400 has 72 divisors (see below), whose sum is σ = 526417557120. Its totient is φ = 82659836160.

The previous prime is 211142010367. The next prime is 211142010433. The reversal of 211142010400 is 4010241112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211142010367) and next prime (211142010433).

It is a super-3 number, since 3×211142010400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2770140 + ... + 2845339.

It is an arithmetic number, because the mean of its divisors is an integer number (7311354960).

Almost surely, 2^211142010400 is an apocalyptic number.

211142010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211142010400 is an abundant number, since it is smaller than the sum of its proper divisors (315275546720).

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

211142010400 is a wasteful number, since it uses less digits than its factorization.

211142010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615546 (or 5615533 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211142010400 its reverse (4010241112), we get a palindrome (215152251512).

The spelling of 211142010400 in words is "two hundred eleven billion, one hundred forty-two million, ten thousand, four hundred".