553401241120 has 288 divisors, whose sum is σ = 1642358673648. Its totient is φ = 174660820992.

The previous prime is 553401241091. The next prime is 553401241177. The reversal of 553401241120 is 21142104355.

It can be written as a sum of positive squares in 8 ways, for example, as 66805707024 + 486595534096 = 258468^2 + 697564^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 38008882 + ... + 38023438.

Almost surely, 2^553401241120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553401241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821179336824).

553401241120 is an abundant number, since it is smaller than the sum of its proper divisors (1088957432528).

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

553401241120 is a wasteful number, since it uses less digits than its factorization.

553401241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14972 (or 14957 counting only the distinct ones).

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

Adding to 553401241120 its reverse (21142104355), we get a palindrome (574543345475).

The spelling of 553401241120 in words is "five hundred fifty-three billion, four hundred one million, two hundred forty-one thousand, one hundred twenty".