217961003040 has 384 divisors, whose sum is σ = 776499913728. Its totient is φ = 50925588480.

The previous prime is 217961002993. The next prime is 217961003059. The reversal of 217961003040 is 40300169712.

It is a super-3 number, since 3×217961003040³ (a number of 35 digits) contains 333 as substring.

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 = 217961002992 and 217961003010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20898307 + ... + 20908733.

It is an arithmetic number, because the mean of its divisors is an integer number (2022135192).

Almost surely, 2^217961003040 is an apocalyptic number.

217961003040 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 217961003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388249956864).

217961003040 is an abundant number, since it is smaller than the sum of its proper divisors (558538910688).

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

217961003040 is a wasteful number, since it uses less digits than its factorization.

217961003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10600 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 217961003040 in words is "two hundred seventeen billion, nine hundred sixty-one million, three thousand, forty".