501025100040 has 192 divisors, whose sum is σ = 1672947993600. Its totient is φ = 129948489216.

The previous prime is 501025100021. The next prime is 501025100047. The reversal of 501025100040 is 40001520105.

501025100040 is a `hidden beast` number, since 50 + 102 + 510 + 0 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 501025099986 and 501025100022.

It is not an unprimeable number, because it can be changed into a prime (501025100047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50917441 + ... + 50927279.

It is an arithmetic number, because the mean of its divisors is an integer number (8713270800).

Almost surely, 2^501025100040 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 501025100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836473996800).

501025100040 is an abundant number, since it is smaller than the sum of its proper divisors (1171922893560).

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

501025100040 is a wasteful number, since it uses less digits than its factorization.

501025100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 501025100040 its reverse (40001520105), we get a palindrome (541026620145).

The spelling of 501025100040 in words is "five hundred one billion, twenty-five million, one hundred thousand, forty".