502120150400 has 192 divisors, whose sum is σ = 1384629681600. Its totient is φ = 178342348800.

The previous prime is 502120150393. The next prime is 502120150423. The reversal of 502120150400 is 4051021205.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347731 + ... + 1679469.

It is an arithmetic number, because the mean of its divisors is an integer number (7211612925).

Almost surely, 2^502120150400 is an apocalyptic number.

502120150400 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 502120150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692314840800).

502120150400 is an abundant number, since it is smaller than the sum of its proper divisors (882509531200).

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

502120150400 is a wasteful number, since it uses less digits than its factorization.

502120150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331817 (or 331800 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 502120150400 its reverse (4051021205), we get a palindrome (506171171605).

The spelling of 502120150400 in words is "five hundred two billion, one hundred twenty million, one hundred fifty thousand, four hundred".