211400404004112 has 60 divisors (see below), whose sum is σ = 576373539219120. Its totient is φ = 66758022311616.

The previous prime is 211400404004107. The next prime is 211400404004117.

211400404004112 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (211400404004107) and next prime (211400404004117).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (211400404004117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6099948162 + ... + 6099982817.

It is an arithmetic number, because the mean of its divisors is an integer number (9606225653652).

Almost surely, 2^{211400404004112} is an apocalyptic number.

It is an amenable number.

211400404004112 is an abundant number, since it is smaller than the sum of its proper divisors (364973135215008).

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

211400404004112 is a wasteful number, since it uses less digits than its factorization.

211400404004112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12199931028 (or 12199931003 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 21140040 and 4004112, that added together give a palindrome (25144152).

The spelling of 211400404004112 in words is "two hundred eleven trillion, four hundred billion, four hundred four million, four thousand, one hundred twelve".