501145632642400 has 144 divisors (see below), whose sum is σ = 1245265757265600. Its totient is φ = 196885157736960.

The previous prime is 501145632642397. The next prime is 501145632642401. The reversal of 501145632642400 is 4246236541105.

It is a super-2 number, since 2×501145632642400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501145632642401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48278311 + ... + 57732889.

It is an arithmetic number, because the mean of its divisors is an integer number (8647678869900).

Almost surely, 2^{501145632642400} is an apocalyptic number.

501145632642400 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 501145632642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622632878632800).

501145632642400 is an abundant number, since it is smaller than the sum of its proper divisors (744120124623200).

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

501145632642400 is a wasteful number, since it uses less digits than its factorization.

501145632642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9455781 (or 9455768 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 501145632642400 in words is "five hundred one trillion, one hundred forty-five billion, six hundred thirty-two million, six hundred forty-two thousand, four hundred".