211961207040 has 288 divisors, whose sum is σ = 740358057600. Its totient is φ = 51254722560.

The previous prime is 211961207039. The next prime is 211961207041. The reversal of 211961207040 is 40702169112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211961207039) and next prime (211961207041).

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 = 211961206992 and 211961207010.

It is not an unprimeable number, because it can be changed into a prime (211961207041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17270026 + ... + 17282294.

It is an arithmetic number, because the mean of its divisors is an integer number (2570687700).

Almost surely, 2^211961207040 is an apocalyptic number.

211961207040 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 211961207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370179028800).

211961207040 is an abundant number, since it is smaller than the sum of its proper divisors (528396850560).

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

211961207040 is a wasteful number, since it uses less digits than its factorization.

211961207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12713 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 211961207040 in words is "two hundred eleven billion, nine hundred sixty-one million, two hundred seven thousand, forty".