505541400000 has 1344 divisors, whose sum is σ = 2112128815104. Its totient is φ = 103864320000.

The previous prime is 505541399989. The next prime is 505541400031. The reversal of 505541400000 is 4145505.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×505541400000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2566199902 + ... + 2566200098.

It is an arithmetic number, because the mean of its divisors is an integer number (1571524416).

Almost surely, 2^505541400000 is an apocalyptic number.

505541400000 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 505541400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056064407552).

505541400000 is an abundant number, since it is smaller than the sum of its proper divisors (1606587415104).

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

505541400000 is a wasteful number, since it uses less digits than its factorization.

505541400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

Adding to 505541400000 its reverse (4145505), we get a palindrome (505545545505).

The spelling of 505541400000 in words is "five hundred five billion, five hundred forty-one million, four hundred thousand".