207151338240 has 864 divisors, whose sum is σ = 897482267136. Its totient is φ = 42856611840.

The previous prime is 207151338221. The next prime is 207151338253. The reversal of 207151338240 is 42833151702.

207151338240 is a `hidden beast` number, since 2 + 0 + 71 + 513 + 38 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 207151338195 and 207151338204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307802544 + ... + 307803216.

It is an arithmetic number, because the mean of its divisors is an integer number (1038752624).

Almost surely, 2^207151338240 is an apocalyptic number.

207151338240 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 207151338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448741133568).

207151338240 is an abundant number, since it is smaller than the sum of its proper divisors (690330928896).

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

207151338240 is a wasteful number, since it uses less digits than its factorization.

207151338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 207151338240 its reverse (42833151702), we get a palindrome (249984489942).

The spelling of 207151338240 in words is "two hundred seven billion, one hundred fifty-one million, three hundred thirty-eight thousand, two hundred forty".