1014884071040 has 128 divisors (see below), whose sum is σ = 2862254085120. Its totient is φ = 336735682560.

The previous prime is 1014884071037. The next prime is 1014884071073. The reversal of 1014884071040 is 401704884101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1014884070985 and 1014884071003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3514937 + ... + 3792696.

It is an arithmetic number, because the mean of its divisors is an integer number (22361360040).

Almost surely, 2^{1014884071040} is an apocalyptic number.

1014884071040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014884071040 is an abundant number, since it is smaller than the sum of its proper divisors (1847370014080).

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

1014884071040 is an equidigital number, since it uses as much as digits as its factorization.

1014884071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7307690 (or 7307678 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The spelling of 1014884071040 in words is "one trillion, fourteen billion, eight hundred eighty-four million, seventy-one thousand, forty".