212428596497040 has 960 divisors, whose sum is σ = 902987985070080. Its totient is φ = 43469112360960.

The previous prime is 212428596497017. The next prime is 212428596497057. The reversal of 212428596497040 is 40794695824212.

It is a happy number.

212428596497040 is a `hidden beast` number, since 2 + 1 + 24 + 2 + 85 + 9 + 6 + 497 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16741155016 + ... + 16741167704.

It is an arithmetic number, because the mean of its divisors is an integer number (940612484448).

Almost surely, 2^{212428596497040} is an apocalyptic number.

212428596497040 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 212428596497040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451493992535040).

212428596497040 is an abundant number, since it is smaller than the sum of its proper divisors (690559388573040).

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

212428596497040 is a wasteful number, since it uses less digits than its factorization.

212428596497040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17300 (or 17291 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 212428596497040 in words is "two hundred twelve trillion, four hundred twenty-eight billion, five hundred ninety-six million, four hundred ninety-seven thousand, forty".