1026523766340 has 72 divisors (see below), whose sum is σ = 3115462954968. Its totient is φ = 273592488960.

The previous prime is 1026523766329. The next prime is 1026523766351. The reversal of 1026523766340 is 436673256201.

1026523766340 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 5 + 2 + 3 + 7 + 6 + 634 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1026523766329) and next prime (1026523766351).

It can be written as a sum of positive squares in 4 ways, for example, as 28330949124 + 998192817216 = 168318^2 + 999096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1197237 + ... + 1867196.

It is an arithmetic number, because the mean of its divisors is an integer number (43270318819).

Almost surely, 2^{1026523766340} is an apocalyptic number.

1026523766340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1026523766340 is an abundant number, since it is smaller than the sum of its proper divisors (2088939188628).

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

1026523766340 is a wasteful number, since it uses less digits than its factorization.

1026523766340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066309 (or 3066304 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 1026523766340 in words is "one trillion, twenty-six billion, five hundred twenty-three million, seven hundred sixty-six thousand, three hundred forty".