505403151440000 has 320 divisors, whose sum is σ = 1385141060476800. Its totient is φ = 182096847360000.

The previous prime is 505403151439919. The next prime is 505403151440009. The reversal of 505403151440000 is 44151304505.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (505403151440009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93285497 + ... + 98554503.

It is an arithmetic number, because the mean of its divisors is an integer number (4328565813990).

Almost surely, 2^{505403151440000} is an apocalyptic number.

505403151440000 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 505403151440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692570530238400).

505403151440000 is an abundant number, since it is smaller than the sum of its proper divisors (879737909036800).

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

505403151440000 is a wasteful number, since it uses less digits than its factorization.

505403151440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269161 (or 5269134 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 505403151440000 in words is "five hundred five trillion, four hundred three billion, one hundred fifty-one million, four hundred forty thousand".