1026406352240 has 80 divisors (see below), whose sum is σ = 2515729533600. Its totient is φ = 388375658496.

The previous prime is 1026406352201. The next prime is 1026406352291. The reversal of 1026406352240 is 422536046201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1026406352240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521276 + ... + 1524644.

It is an arithmetic number, because the mean of its divisors is an integer number (31446619170).

Almost surely, 2^{1026406352240} is an apocalyptic number.

1026406352240 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 1026406352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257864766800).

1026406352240 is an abundant number, since it is smaller than the sum of its proper divisors (1489323181360).

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

1026406352240 is a wasteful number, since it uses less digits than its factorization.

1026406352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004074 (or 1004068 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 1026406352240 in words is "one trillion, twenty-six billion, four hundred six million, three hundred fifty-two thousand, two hundred forty".