201704480087040 has 4224 divisors, whose sum is σ = 888811262115840. Its totient is φ = 43191661363200.

The previous prime is 201704480087021. The next prime is 201704480087083. The reversal of 201704480087040 is 40780084407102.

201704480087040 is a `hidden beast` number, since 20 + 1 + 70 + 4 + 480 + 0 + 87 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1237450797999 + ... + 1237450798161.

Almost surely, 2^{201704480087040} is an apocalyptic number.

201704480087040 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 201704480087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444405631057920).

201704480087040 is an abundant number, since it is smaller than the sum of its proper divisors (687106782028800).

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

201704480087040 is a wasteful number, since it uses less digits than its factorization.

201704480087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 201704480087040 in words is "two hundred one trillion, seven hundred four billion, four hundred eighty million, eighty-seven thousand, forty".