1026624366240 has 192 divisors, whose sum is σ = 3641656983552. Its totient is φ = 240850252800.

The previous prime is 1026624366191. The next prime is 1026624366247. The reversal of 1026624366240 is 426634266201.

It is a junction number, because it is equal to n+sod(n) for n = 1026624366192 and 1026624366201.

It is not an unprimeable number, because it can be changed into a prime (1026624366247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2972392 + ... + 3299751.

It is an arithmetic number, because the mean of its divisors is an integer number (18966963456).

Almost surely, 2^{1026624366240} is an apocalyptic number.

1026624366240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1026624366240 is an abundant number, since it is smaller than the sum of its proper divisors (2615032617312).

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

1026624366240 is a wasteful number, since it uses less digits than its factorization.

1026624366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272203 (or 6272195 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 1026624366240 in words is "one trillion, twenty-six billion, six hundred twenty-four million, three hundred sixty-six thousand, two hundred forty".