207213461040 has 320 divisors, whose sum is σ = 715550630400. Its totient is φ = 49360453632.

The previous prime is 207213461017. The next prime is 207213461051. The reversal of 207213461040 is 40164312702.

207213461040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 207213460989 and 207213461007.

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 63 ways as a sum of consecutive naturals, for example, 6966039 + ... + 6995721.

It is an arithmetic number, because the mean of its divisors is an integer number (2236095720).

Almost surely, 2^207213461040 is an apocalyptic number.

207213461040 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 207213461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357775315200).

207213461040 is an abundant number, since it is smaller than the sum of its proper divisors (508337169360).

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

207213461040 is a wasteful number, since it uses less digits than its factorization.

207213461040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29804 (or 29798 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 207213461040 its reverse (40164312702), we get a palindrome (247377773742).

The spelling of 207213461040 in words is "two hundred seven billion, two hundred thirteen million, four hundred sixty-one thousand, forty".