505452541442400 has 216 divisors, whose sum is σ = 1796386295418624. Its totient is φ = 133726026470400.

The previous prime is 505452541442371. The next prime is 505452541442419. The reversal of 505452541442400 is 4244145254505.

505452541442400 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 52 + 54 + 144 + 2 + 400 = 666.

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 35 ways as a sum of consecutive naturals, for example, 275470411 + ... + 277299210.

Almost surely, 2^{505452541442400} is an apocalyptic number.

505452541442400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505452541442400 is an abundant number, since it is smaller than the sum of its proper divisors (1290933753976224).

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

505452541442400 is a wasteful number, since it uses less digits than its factorization.

505452541442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552769774 (or 552769758 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 45.

Adding to 505452541442400 its reverse (4244145254505), we get a palindrome (509696686696905).

The spelling of 505452541442400 in words is "five hundred five trillion, four hundred fifty-two billion, five hundred forty-one million, four hundred forty-two thousand, four hundred".