20401024032 has 288 divisors, whose sum is σ = 61133776704. Its totient is φ = 6447513600.

The previous prime is 20401024031. The next prime is 20401024043. The reversal of 20401024032 is 23042010402.

20401024032 is a `hidden beast` number, since 20 + 401 + 0 + 240 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 20401023996 and 20401024014.

It is not an unprimeable number, because it can be changed into a prime (20401024031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84651432 + ... + 84651672.

It is an arithmetic number, because the mean of its divisors is an integer number (212270058).

Almost surely, 2^20401024032 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 20401024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30566888352).

20401024032 is an abundant number, since it is smaller than the sum of its proper divisors (40732752672).

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

20401024032 is a wasteful number, since it uses less digits than its factorization.

20401024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

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

Adding to 20401024032 its reverse (23042010402), we get a palindrome (43443034434).

The spelling of 20401024032 in words is "twenty billion, four hundred one million, twenty-four thousand, thirty-two".