1072483042176 has 1728 divisors, whose sum is σ = 4202011522800. Its totient is φ = 260855562240.

The previous prime is 1072483042151. The next prime is 1072483042217. The reversal of 1072483042176 is 6712403842701.

1072483042176 is a `hidden beast` number, since 10 + 7 + 248 + 304 + 21 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11056526160 + ... + 11056526256.

Almost surely, 2^{1072483042176} is an apocalyptic number.

1072483042176 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 1072483042176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101005761400).

1072483042176 is an abundant number, since it is smaller than the sum of its proper divisors (3129528480624).

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

1072483042176 is a wasteful number, since it uses less digits than its factorization.

1072483042176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

Adding to 1072483042176 its reverse (6712403842701), we get a palindrome (7784886884877).

The spelling of 1072483042176 in words is "one trillion, seventy-two billion, four hundred eighty-three million, forty-two thousand, one hundred seventy-six".