211332311040 has 96 divisors (see below), whose sum is σ = 676098390240. Its totient is φ = 56355274752.

The previous prime is 211332310979. The next prime is 211332311041. The reversal of 211332311040 is 40113233112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×211332311040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211332310998 and 211332311016.

It is not an unprimeable number, because it can be changed into a prime (211332311041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3408934 + ... + 3470373.

It is an arithmetic number, because the mean of its divisors is an integer number (7042691565).

Almost surely, 2^211332311040 is an apocalyptic number.

211332311040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211332311040 is an abundant number, since it is smaller than the sum of its proper divisors (464766079200).

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

211332311040 is an equidigital number, since it uses as much as digits as its factorization.

211332311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879337 (or 6879317 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211332311040 its reverse (40113233112), we get a palindrome (251445544152).

The spelling of 211332311040 in words is "two hundred eleven billion, three hundred thirty-two million, three hundred eleven thousand, forty".