211142023440 has 80 divisors (see below), whose sum is σ = 658933272000. Its totient is φ = 55926647296.

The previous prime is 211142023429. The next prime is 211142023447. The reversal of 211142023440 is 44320241112.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 211142023440.

It is not an unprimeable number, because it can be changed into a prime (211142023447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2916450 + ... + 2987969.

It is an arithmetic number, because the mean of its divisors is an integer number (8236665900).

Almost surely, 2^211142023440 is an apocalyptic number.

211142023440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211142023440 is an abundant number, since it is smaller than the sum of its proper divisors (447791248560).

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

211142023440 is a wasteful number, since it uses less digits than its factorization.

211142023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904584 (or 5904578 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211142023440 its reverse (44320241112), we get a palindrome (255462264552).

The spelling of 211142023440 in words is "two hundred eleven billion, one hundred forty-two million, twenty-three thousand, four hundred forty".