201420524967480 has 768 divisors, whose sum is σ = 841228406928000. Its totient is φ = 42490862862336.

The previous prime is 201420524967457. The next prime is 201420524967481. The reversal of 201420524967480 is 84769425024102.

201420524967480 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 2 + 0 + 5 + 2 + 496 + 74 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201420524967481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5275946152 + ... + 5275984328.

Almost surely, 2^{201420524967480} is an apocalyptic number.

201420524967480 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 201420524967480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420614203464000).

201420524967480 is an abundant number, since it is smaller than the sum of its proper divisors (639807881960520).

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

201420524967480 is a wasteful number, since it uses less digits than its factorization.

201420524967480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45893 (or 45876 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 201420524967480 in words is "two hundred one trillion, four hundred twenty billion, five hundred twenty-four million, nine hundred sixty-seven thousand, four hundred eighty".