1071406128 has 160 divisors (see below), whose sum is σ = 3114022912. Its totient is φ = 315187200.

The previous prime is 1071406123. The next prime is 1071406129. The reversal of 1071406128 is 8216041701.

It is a super-2 number, since 2×1071406128² = 2295822182231904768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1071406095 and 1071406104.

It is not an unprimeable number, because it can be changed into a prime (1071406121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1876083 + ... + 1876653.

Almost surely, 2^1071406128 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 1071406128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557011456).

1071406128 is an abundant number, since it is smaller than the sum of its proper divisors (2042616784).

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

1071406128 is a wasteful number, since it uses less digits than its factorization.

1071406128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1071406128 is about 32732.3407045692. The cubic root of 1071406128 is about 1023.2569632046.

Adding to 1071406128 its reverse (8216041701), we get a palindrome (9287447829).

The spelling of 1071406128 in words is "one billion, seventy-one million, four hundred six thousand, one hundred twenty-eight".