1052121044040 has 192 divisors, whose sum is σ = 3503746169280. Its totient is φ = 252533952000.

The previous prime is 1052121043973. The next prime is 1052121044099. The reversal of 1052121044040 is 404401212501.

1052121044040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052121044040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1052121044040.

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, 1107807 + ... + 1825233.

It is an arithmetic number, because the mean of its divisors is an integer number (18248677965).

Almost surely, 2^{1052121044040} is an apocalyptic number.

1052121044040 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 1052121044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751873084640).

1052121044040 is an abundant number, since it is smaller than the sum of its proper divisors (2451625125240).

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

1052121044040 is a wasteful number, since it uses less digits than its factorization.

1052121044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717564 (or 717549 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 1052121044040 its reverse (404401212501), we get a palindrome (1456522256541).

The spelling of 1052121044040 in words is "one trillion, fifty-two billion, one hundred twenty-one million, forty-four thousand, forty".