1026703304640 has 1568 divisors, whose sum is σ = 4161078491136. Its totient is φ = 239446056960.

The previous prime is 1026703304587. The next prime is 1026703304713. The reversal of 1026703304640 is 464033076201.

It is a happy number.

1026703304640 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 7 + 0 + 3 + 3 + 0 + 4 + 640 = 666.

It is a super-4 number, since 4×1026703304640⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1026703304595 and 1026703304604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6298793199 + ... + 6298793361.

Almost surely, 2^{1026703304640} is an apocalyptic number.

1026703304640 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 1026703304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080539245568).

1026703304640 is an abundant number, since it is smaller than the sum of its proper divisors (3134375186496).

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

1026703304640 is a wasteful number, since it uses less digits than its factorization.

1026703304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 1026703304640 in words is "one trillion, twenty-six billion, seven hundred three million, three hundred four thousand, six hundred forty".