1076120208140 has 48 divisors (see below), whose sum is σ = 2282101335360. Its totient is φ = 426215450880.

The previous prime is 1076120208073. The next prime is 1076120208169. The reversal of 1076120208140 is 418020216701.

It is a happy number.

It is a super-3 number, since 3×1076120208140³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1076120208097 and 1076120208106.

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 15 ways as a sum of consecutive naturals, for example, 3130634 + ... + 3457326.

It is an arithmetic number, because the mean of its divisors is an integer number (47543777820).

Almost surely, 2^{1076120208140} is an apocalyptic number.

1076120208140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076120208140 is an abundant number, since it is smaller than the sum of its proper divisors (1205981127220).

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

1076120208140 is a wasteful number, since it uses less digits than its factorization.

1076120208140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328322 (or 328320 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 1076120208140 in words is "one trillion, seventy-six billion, one hundred twenty million, two hundred eight thousand, one hundred forty".