1021707234240 has 1344 divisors, whose sum is σ = 4396827294720. Its totient is φ = 196101734400.

The previous prime is 1021707234217. The next prime is 1021707234241. The reversal of 1021707234240 is 424327071201.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021707234241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 633419674 + ... + 633421286.

It is an arithmetic number, because the mean of its divisors is an integer number (3271448880).

Almost surely, 2^{1021707234240} is an apocalyptic number.

1021707234240 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 1021707234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198413647360).

1021707234240 is an abundant number, since it is smaller than the sum of its proper divisors (3375120060480).

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

1021707234240 is a wasteful number, since it uses less digits than its factorization.

1021707234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 1021707234240 in words is "one trillion, twenty-one billion, seven hundred seven million, two hundred thirty-four thousand, two hundred forty".