201024040032 has 144 divisors (see below), whose sum is σ = 598276158480. Its totient is φ = 66392980992.

The previous prime is 201024040013. The next prime is 201024040097. The reversal of 201024040032 is 230040420102.

201024040032 is a `hidden beast` number, since 20 + 1 + 0 + 240 + 400 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×201024040032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201024039987 and 201024040014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728998 + ... + 966170.

It is an arithmetic number, because the mean of its divisors is an integer number (4154695545).

Almost surely, 2^201024040032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201024040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299138079240).

201024040032 is an abundant number, since it is smaller than the sum of its proper divisors (397252118448).

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

201024040032 is a wasteful number, since it uses less digits than its factorization.

201024040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237307 (or 237287 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 201024040032 its reverse (230040420102), we get a palindrome (431064460134).

The spelling of 201024040032 in words is "two hundred one billion, twenty-four million, forty thousand, thirty-two".