501500340000 has 1440 divisors, whose sum is σ = 2108905134336. Its totient is φ = 111636480000.

The previous prime is 501500339987. The next prime is 501500340031. The reversal of 501500340000 is 43005105.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1582019842 + ... + 1582020158.

Almost surely, 2^501500340000 is an apocalyptic number.

501500340000 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 501500340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054452567168).

501500340000 is an abundant number, since it is smaller than the sum of its proper divisors (1607404794336).

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

501500340000 is a wasteful number, since it uses less digits than its factorization.

501500340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 501500340000 its reverse (43005105), we get a palindrome (501543345105).

The spelling of 501500340000 in words is "five hundred one billion, five hundred million, three hundred forty thousand".