1026920643840 has 2592 divisors, whose sum is σ = 4745048345856. Its totient is φ = 210691031040.

The previous prime is 1026920643829. The next prime is 1026920643901. The reversal of 1026920643840 is 483460296201.

1026920643840 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 9 + 206 + 438 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14067406044 + ... + 14067406116.

It is an arithmetic number, because the mean of its divisors is an integer number (1830651368).

Almost surely, 2^{1026920643840} is an apocalyptic number.

1026920643840 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 1026920643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372524172928).

1026920643840 is an abundant number, since it is smaller than the sum of its proper divisors (3718127702016).

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

1026920643840 is an equidigital number, since it uses as much as digits as its factorization.

1026920643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1026920643840 in words is "one trillion, twenty-six billion, nine hundred twenty million, six hundred forty-three thousand, eight hundred forty".