10042024032 has 288 divisors, whose sum is σ = 31453107840. Its totient is φ = 3116206080.

The previous prime is 10042024021. The next prime is 10042024033. The reversal of 10042024032 is 23042024001.

10042024032 is a `hidden beast` number, since 1 + 0 + 0 + 420 + 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 = 10042023996 and 10042024014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042024033) 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, 32710023 + ... + 32710329.

It is an arithmetic number, because the mean of its divisors is an integer number (109212180).

Almost surely, 2^10042024032 is an apocalyptic number.

10042024032 is a gapful number since it is divisible by the number (12) 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 10042024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15726553920).

10042024032 is an abundant number, since it is smaller than the sum of its proper divisors (21411083808).

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

10042024032 is a wasteful number, since it uses less digits than its factorization.

10042024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 460 counting only the distinct ones).

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

Adding to 10042024032 its reverse (23042024001), we get a palindrome (33084048033).

The spelling of 10042024032 in words is "ten billion, forty-two million, twenty-four thousand, thirty-two".