1008027044032 has 56 divisors (see below), whose sum is σ = 2088046006272. Its totient is φ = 481921440000.

The previous prime is 1008027044029. The next prime is 1008027044081. The reversal of 1008027044032 is 2304407208001.

It is a super-2 number, since 2×1008027044032² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1008027043985 and 1008027044003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3894657 + ... + 4145407.

Almost surely, 2^{1008027044032} 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 1008027044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044023003136).

1008027044032 is an abundant number, since it is smaller than the sum of its proper divisors (1080018962240).

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

1008027044032 is a wasteful number, since it uses less digits than its factorization.

1008027044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253517 (or 253507 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 1008027044032 in words is "one trillion, eight billion, twenty-seven million, forty-four thousand, thirty-two".