1042071627520 has 288 divisors, whose sum is σ = 3118642974720. Its totient is φ = 324108779520.

The previous prime is 1042071627503. The next prime is 1042071627533. The reversal of 1042071627520 is 257261702401.

It is a self number, because there is not a number n which added to its sum of digits gives 1042071627520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47199204 + ... + 47221276.

It is an arithmetic number, because the mean of its divisors is an integer number (10828621440).

Almost surely, 2^{1042071627520} is an apocalyptic number.

1042071627520 is a gapful number since it is divisible by the number (10) 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 1042071627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559321487360).

1042071627520 is an abundant number, since it is smaller than the sum of its proper divisors (2076571347200).

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

1042071627520 is a wasteful number, since it uses less digits than its factorization.

1042071627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22591 (or 22577 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 1042071627520 in words is "one trillion, forty-two billion, seventy-one million, six hundred twenty-seven thousand, five hundred twenty".