1055101324240 has 160 divisors (see below), whose sum is σ = 2534850321696. Its totient is φ = 408166072320.

The previous prime is 1055101324229. The next prime is 1055101324297. The reversal of 1055101324240 is 424231015501.

1055101324240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 33239123856 + 1021862200384 = 182316^2 + 1010872^2 .

It is a super-2 number, since 2×1055101324240² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055101324199 and 1055101324208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464187744 + ... + 464190016.

Almost surely, 2^{1055101324240} is an apocalyptic number.

1055101324240 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 1055101324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267425160848).

1055101324240 is an abundant number, since it is smaller than the sum of its proper divisors (1479748997456).

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

1055101324240 is a wasteful number, since it uses less digits than its factorization.

1055101324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 1055101324240 its reverse (424231015501), we get a palindrome (1479332339741).

The spelling of 1055101324240 in words is "one trillion, fifty-five billion, one hundred one million, three hundred twenty-four thousand, two hundred forty".