211404004040 has 128 divisors (see below), whose sum is σ = 484255998720. Its totient is φ = 83051827200.

The previous prime is 211404004003. The next prime is 211404004043. The reversal of 211404004040 is 40400404112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (211404004043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277797260 + ... + 277798020.

It is an arithmetic number, because the mean of its divisors is an integer number (3783249990).

Almost surely, 2^211404004040 is an apocalyptic number.

211404004040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211404004040 is an abundant number, since it is smaller than the sum of its proper divisors (272851994680).

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

211404004040 is a wasteful number, since it uses less digits than its factorization.

211404004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 211404004040 its reverse (40400404112), we get a palindrome (251804408152).

The spelling of 211404004040 in words is "two hundred eleven billion, four hundred four million, four thousand, forty".