1027026534240 has 288 divisors, whose sum is σ = 4007368572480. Its totient is φ = 234633756672.

The previous prime is 1027026534199. The next prime is 1027026534251. The reversal of 1027026534240 is 424356207201.

1027026534240 is a `hidden beast` number, since 1 + 0 + 270 + 2 + 6 + 5 + 342 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1027026534240³ (a number of 37 digits) contains 333 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 = 1027026534195 and 1027026534204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21436392 + ... + 21484248.

It is an arithmetic number, because the mean of its divisors is an integer number (13914474210).

Almost surely, 2^{1027026534240} is an apocalyptic number.

1027026534240 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 1027026534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003684286240).

1027026534240 is an abundant number, since it is smaller than the sum of its proper divisors (2980342038240).

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

1027026534240 is a wasteful number, since it uses less digits than its factorization.

1027026534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50014 (or 50003 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 1027026534240 in words is "one trillion, twenty-seven billion, twenty-six million, five hundred thirty-four thousand, two hundred forty".