581141408090400 has 1152 divisors, whose sum is σ = 2246733559848960. Its totient is φ = 144465097605120.

The previous prime is 581141408090203. The next prime is 581141408090407. The reversal of 581141408090400 is 4090804141185.

581141408090400 is a `hidden beast` number, since 5 + 8 + 1 + 1 + 41 + 40 + 80 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (581141408090407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17354222457 + ... + 17354255943.

It is an arithmetic number, because the mean of its divisors is an integer number (1950289548480).

Almost surely, 2^{581141408090400} is an apocalyptic number.

581141408090400 is a gapful number since it is divisible by the number (50) 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 581141408090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123366779924480).

581141408090400 is an abundant number, since it is smaller than the sum of its proper divisors (1665592151758560).

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

581141408090400 is a wasteful number, since it uses less digits than its factorization.

581141408090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33983 (or 33964 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 581141408090400 in words is "five hundred eighty-one trillion, one hundred forty-one billion, four hundred eight million, ninety thousand, four hundred".