505531041408 has 768 divisors, whose sum is σ = 1636008192000. Its totient is φ = 154999443456.

The previous prime is 505531041391. The next prime is 505531041427. The reversal of 505531041408 is 804140135505.

505531041408 is a `hidden beast` number, since 50 + 553 + 10 + 4 + 1 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2540356893 + ... + 2540357091.

It is an arithmetic number, because the mean of its divisors is an integer number (2130219000).

Almost surely, 2^505531041408 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 505531041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818004096000).

505531041408 is an abundant number, since it is smaller than the sum of its proper divisors (1130477150592).

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

505531041408 is a wasteful number, since it uses less digits than its factorization.

505531041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 505531041408 in words is "five hundred five billion, five hundred thirty-one million, forty-one thousand, four hundred eight".