201415407874560 has 3200 divisors, whose sum is σ = 852685941178368. Its totient is φ = 44933087232000.

The previous prime is 201415407874523. The next prime is 201415407874561. The reversal of 201415407874560 is 65478704514102.

It is a happy number.

201415407874560 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 1 + 5 + 4 + 0 + 7 + 8 + 74 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 201415407874497 and 201415407874506.

It is not an unprimeable number, because it can be changed into a prime (201415407874561) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 440733933852 + ... + 440733934308.

Almost surely, 2^{201415407874560} is an apocalyptic number.

201415407874560 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 201415407874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426342970589184).

201415407874560 is an abundant number, since it is smaller than the sum of its proper divisors (651270533303808).

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

201415407874560 is a wasteful number, since it uses less digits than its factorization.

201415407874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 201415407874560 in words is "two hundred one trillion, four hundred fifteen billion, four hundred seven million, eight hundred seventy-four thousand, five hundred sixty".