201415032240 has 320 divisors, whose sum is σ = 656939953152. Its totient is φ = 50996736000.

The previous prime is 201415032239. The next prime is 201415032331. The reversal of 201415032240 is 42230514102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201415032240.

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, 63676899 + ... + 63680061.

Almost surely, 2^201415032240 is an apocalyptic number.

201415032240 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 201415032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328469976576).

201415032240 is an abundant number, since it is smaller than the sum of its proper divisors (455524920912).

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

201415032240 is a wasteful number, since it uses less digits than its factorization.

201415032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 201415032240 its reverse (42230514102), we get a palindrome (243645546342).

The spelling of 201415032240 in words is "two hundred one billion, four hundred fifteen million, thirty-two thousand, two hundred forty".