212570941440 has 1152 divisors, whose sum is σ = 830076024960. Its totient is φ = 46108508160.

The previous prime is 212570941403. The next prime is 212570941447. The reversal of 212570941440 is 44149075212.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (212570941447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2561095639 + ... + 2561095721.

It is an arithmetic number, because the mean of its divisors is an integer number (720552105).

Almost surely, 2^212570941440 is an apocalyptic number.

212570941440 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 212570941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415038012480).

212570941440 is an abundant number, since it is smaller than the sum of its proper divisors (617505083520).

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

212570941440 is a wasteful number, since it uses less digits than its factorization.

212570941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 212570941440 in words is "two hundred twelve billion, five hundred seventy million, nine hundred forty-one thousand, four hundred forty".