1012368577040 has 80 divisors (see below), whose sum is σ = 2410363072128. Its totient is φ = 395223349248.

The previous prime is 1012368577037. The next prime is 1012368577043. The reversal of 1012368577040 is 407758632101.

It is an interprime number because it is at equal distance from previous prime (1012368577037) and next prime (1012368577043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1012368576982 and 1012368577000.

It is not an unprimeable number, because it can be changed into a prime (1012368577043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4348229 + ... + 4575131.

Almost surely, 2^{1012368577040} is an apocalyptic number.

1012368577040 is a gapful number since it is divisible by the number (10) 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 1012368577040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205181536064).

1012368577040 is an abundant number, since it is smaller than the sum of its proper divisors (1397994495088).

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

1012368577040 is a wasteful number, since it uses less digits than its factorization.

1012368577040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228256 (or 228250 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 1012368577040 in words is "one trillion, twelve billion, three hundred sixty-eight million, five hundred seventy-seven thousand, forty".