212042101440 has 224 divisors, whose sum is σ = 725492275200. Its totient is φ = 52161048576.

The previous prime is 212042101409. The next prime is 212042101471. The reversal of 212042101440 is 44101240212.

It is an interprime number because it is at equal distance from previous prime (212042101409) and next prime (212042101471).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23045961 + ... + 23055159.

It is an arithmetic number, because the mean of its divisors is an integer number (3238804800).

Almost surely, 2^212042101440 is an apocalyptic number.

212042101440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212042101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362746137600).

212042101440 is an abundant number, since it is smaller than the sum of its proper divisors (513450173760).

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

212042101440 is a wasteful number, since it uses less digits than its factorization.

212042101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11079 (or 11069 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 212042101440 its reverse (44101240212), we get a palindrome (256143341652).

The spelling of 212042101440 in words is "two hundred twelve billion, forty-two million, one hundred one thousand, four hundred forty".