212791447440 has 1280 divisors, whose sum is σ = 904262123520. Its totient is φ = 45287424000.

The previous prime is 212791447391. The next prime is 212791447469. The reversal of 212791447440 is 44744197212.

212791447440 is a `hidden beast` number, since 2 + 127 + 9 + 14 + 474 + 40 = 666.

It is a super-2 number, since 2×212791447440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 679844724 + ... + 679845036.

It is an arithmetic number, because the mean of its divisors is an integer number (706454784).

Almost surely, 2^212791447440 is an apocalyptic number.

212791447440 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 212791447440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452131061760).

212791447440 is an abundant number, since it is smaller than the sum of its proper divisors (691470676080).

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

212791447440 is a wasteful number, since it uses less digits than its factorization.

212791447440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 212791447440 in words is "two hundred twelve billion, seven hundred ninety-one million, four hundred forty-seven thousand, four hundred forty".