201504020433120 has 144 divisors (see below), whose sum is σ = 688275723320640. Its totient is φ = 53684138990592.

The previous prime is 201504020433083. The next prime is 201504020433127. The reversal of 201504020433120 is 21334020405102.

201504020433120 is a `hidden beast` number, since 2 + 0 + 1 + 50 + 40 + 20 + 433 + 120 = 666.

201504020433120 is digitally balanced in base 3, 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 (144).

It is a super-2 number, since 2×201504020433120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201504020433127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63911224 + ... + 66989943.

It is an arithmetic number, because the mean of its divisors is an integer number (4779692523060).

Almost surely, 2^{201504020433120} is an apocalyptic number.

201504020433120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201504020433120 is an abundant number, since it is smaller than the sum of its proper divisors (486771702887520).

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

201504020433120 is a wasteful number, since it uses less digits than its factorization.

201504020433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130902257 (or 130902246 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 201504020433120 its reverse (21334020405102), we get a palindrome (222838040838222).

The spelling of 201504020433120 in words is "two hundred one trillion, five hundred four billion, twenty million, four hundred thirty-three thousand, one hundred twenty".