501245025124140 has 576 divisors, whose sum is σ = 1686264041734272. Its totient is φ = 119502132019200.

The previous prime is 501245025124117. The next prime is 501245025124159. The reversal of 501245025124140 is 41421520542105.

501245025124140 is a `hidden beast` number, since 5 + 0 + 1 + 2 + 4 + 502 + 5 + 1 + 2 + 4 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 501245025124095 and 501245025124104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175444529592 + ... + 175444532448.

It is an arithmetic number, because the mean of its divisors is an integer number (2927541739122).

Almost surely, 2^{501245025124140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501245025124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843132020867136).

501245025124140 is an abundant number, since it is smaller than the sum of its proper divisors (1185019016610132).

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

501245025124140 is a wasteful number, since it uses less digits than its factorization.

501245025124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 501245025124140 its reverse (41421520542105), we get a palindrome (542666545666245).

The spelling of 501245025124140 in words is "five hundred one trillion, two hundred forty-five billion, twenty-five million, one hundred twenty-four thousand, one hundred forty".