1010004124032 has 576 divisors, whose sum is σ = 3264858848160. Its totient is φ = 298072473600.

The previous prime is 1010004124013. The next prime is 1010004124039. The reversal of 1010004124032 is 2304214000101.

1010004124032 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 (576).

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 = 1010004123996 and 1010004124014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010004124039) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6778551094 + ... + 6778551242.

Almost surely, 2^{1010004124032} is an apocalyptic number.

1010004124032 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 1010004124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632429424080).

1010004124032 is an abundant number, since it is smaller than the sum of its proper divisors (2254854724128).

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

1010004124032 is a wasteful number, since it uses less digits than its factorization.

1010004124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1010004124032 its reverse (2304214000101), we get a palindrome (3314218124133).

The spelling of 1010004124032 in words is "one trillion, ten billion, four million, one hundred twenty-four thousand, thirty-two".