201497432400 has 720 divisors, whose sum is σ = 791741176512. Its totient is φ = 47029248000.

The previous prime is 201497432377. The next prime is 201497432407. The reversal of 201497432400 is 4234794102.

201497432400 is a `hidden beast` number, since 201 + 4 + 9 + 7 + 43 + 2 + 400 = 666.

201497432400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201497432407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124303590 + ... + 124305210.

Almost surely, 2^201497432400 is an apocalyptic number.

201497432400 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 201497432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395870588256).

201497432400 is an abundant number, since it is smaller than the sum of its proper divisors (590243744112).

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

201497432400 is a wasteful number, since it uses less digits than its factorization.

201497432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 201497432400 in words is "two hundred one billion, four hundred ninety-seven million, four hundred thirty-two thousand, four hundred".