1008041192532 has 144 divisors (see below), whose sum is σ = 2795911110720. Its totient is φ = 303695884800.

The previous prime is 1008041192479. The next prime is 1008041192539. The reversal of 1008041192532 is 2352911408001.

1008041192532 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 0 + 4 + 119 + 2 + 532 = 666.

It is a super-3 number, since 3×1008041192532³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008041192539) 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, 52293648 + ... + 52312920.

It is an arithmetic number, because the mean of its divisors is an integer number (19416049380).

Almost surely, 2^{1008041192532} is an apocalyptic number.

1008041192532 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 1008041192532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397955555360).

1008041192532 is an abundant number, since it is smaller than the sum of its proper divisors (1787869918188).

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

1008041192532 is a wasteful number, since it uses less digits than its factorization.

1008041192532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20054 (or 20049 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1008041192532 in words is "one trillion, eight billion, forty-one million, one hundred ninety-two thousand, five hundred thirty-two".