1000312010040 has 128 divisors (see below), whose sum is σ = 3456646594560. Its totient is φ = 226842384384.

The previous prime is 1000312010039. The next prime is 1000312010077. The reversal of 1000312010040 is 400102130001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000312009998 and 1000312010025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4581697 + ... + 4795056.

It is an arithmetic number, because the mean of its divisors is an integer number (27005051520).

Almost surely, 2^{1000312010040} is an apocalyptic number.

1000312010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000312010040 is an abundant number, since it is smaller than the sum of its proper divisors (2456334584520).

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

1000312010040 is a wasteful number, since it uses less digits than its factorization.

1000312010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9376901 (or 9376897 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000312010040 its reverse (400102130001), we get a palindrome (1400414140041).

The spelling of 1000312010040 in words is "one trillion, three hundred twelve million, ten thousand, forty".