1082129040 has 120 divisors (see below), whose sum is σ = 3825469440. Its totient is φ = 273376512.

The previous prime is 1082129029. The next prime is 1082129051. The reversal of 1082129040 is 409212801.

It is an interprime number because it is at equal distance from previous prime (1082129029) and next prime (1082129051).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1082129040² = 2342006518422643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1082128995 and 1082129013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25872 + ... + 53231.

It is an arithmetic number, because the mean of its divisors is an integer number (31878912).

Almost surely, 2^1082129040 is an apocalyptic number.

1082129040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082129040 is an abundant number, since it is smaller than the sum of its proper divisors (2743340400).

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

1082129040 is a wasteful number, since it uses less digits than its factorization.

1082129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79141 (or 79132 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1082129040 is about 32895.7298140655. The cubic root of 1082129040 is about 1026.6593119917.

The spelling of 1082129040 in words is "one billion, eighty-two million, one hundred twenty-nine thousand, forty".