1026671415200 has 72 divisors (see below), whose sum is σ = 2506744558080. Its totient is φ = 410605817600.

The previous prime is 1026671415199. The next prime is 1026671415241. The reversal of 1026671415200 is 25141766201.

It is a super-4 number, since 4×1026671415200⁴ (a number of 49 digits) contains 4444 as substring.

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 11 ways as a sum of consecutive naturals, for example, 5328545 + ... + 5517855.

It is an arithmetic number, because the mean of its divisors is an integer number (34815896640).

Almost surely, 2^{1026671415200} is an apocalyptic number.

1026671415200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1026671415200 is an abundant number, since it is smaller than the sum of its proper divisors (1480073142880).

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

1026671415200 is a wasteful number, since it uses less digits than its factorization.

1026671415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196110 (or 196097 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 1026671415200 in words is "one trillion, twenty-six billion, six hundred seventy-one million, four hundred fifteen thousand, two hundred".