1042271630976 has 256 divisors, whose sum is σ = 2849883264000. Its totient is φ = 337381244928.

The previous prime is 1042271630887. The next prime is 1042271631061. The reversal of 1042271630976 is 6790361722401.

1042271630976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1042271630976² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1134136245 + ... + 1134137163.

It is an arithmetic number, because the mean of its divisors is an integer number (11132356500).

Almost surely, 2^{1042271630976} is an apocalyptic number.

1042271630976 is a gapful number since it is divisible by the number (16) 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 1042271630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424941632000).

1042271630976 is an abundant number, since it is smaller than the sum of its proper divisors (1807611633024).

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

1042271630976 is a wasteful number, since it uses less digits than its factorization.

1042271630976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 1042271630976 in words is "one trillion, forty-two billion, two hundred seventy-one million, six hundred thirty thousand, nine hundred seventy-six".