552040141524480 has 1920 divisors, whose sum is σ = 2402491373568000. Its totient is φ = 114222796111872.

The previous prime is 552040141524461. The next prime is 552040141524601. The reversal of 552040141524480 is 84425141040255.

552040141524480 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 4 + 0 + 1 + 41 + 524 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 20911390321 + ... + 20911416719.

It is an arithmetic number, because the mean of its divisors is an integer number (1251297590400).

Almost surely, 2^{552040141524480} 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 552040141524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201245686784000).

552040141524480 is an abundant number, since it is smaller than the sum of its proper divisors (1850451232043520).

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

552040141524480 is a wasteful number, since it uses less digits than its factorization.

552040141524480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26744 (or 26725 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 552040141524480 in words is "five hundred fifty-two trillion, forty billion, one hundred forty-one million, five hundred twenty-four thousand, four hundred eighty".