212008529040 has 640 divisors, whose sum is σ = 830490845184. Its totient is φ = 43462656000.

The previous prime is 212008529039. The next prime is 212008529069. The reversal of 212008529040 is 40925800212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 212008528992 and 212008529010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 806115949 + ... + 806116211.

Almost surely, 2^212008529040 is an apocalyptic number.

212008529040 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 212008529040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415245422592).

212008529040 is an abundant number, since it is smaller than the sum of its proper divisors (618482316144).

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

212008529040 is a wasteful number, since it uses less digits than its factorization.

212008529040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 212008529040 in words is "two hundred twelve billion, eight million, five hundred twenty-nine thousand, forty".