505123022042400 has 72 divisors (see below), whose sum is σ = 1644175436755824. Its totient is φ = 134699472544000.

The previous prime is 505123022042347. The next prime is 505123022042423. The reversal of 505123022042400 is 4240220321505.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105233960526 + ... + 105233965325.

It is an arithmetic number, because the mean of its divisors is an integer number (22835769954942).

Almost surely, 2^{505123022042400} is an apocalyptic number.

505123022042400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505123022042400 is an abundant number, since it is smaller than the sum of its proper divisors (1139052414713424).

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

505123022042400 is a wasteful number, since it uses less digits than its factorization.

505123022042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210467925874 (or 210467925861 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 505123022042400 its reverse (4240220321505), we get a palindrome (509363242363905).

The spelling of 505123022042400 in words is "five hundred five trillion, one hundred twenty-three billion, twenty-two million, forty-two thousand, four hundred".