501749821440 has 728 divisors, whose sum is σ = 2063576060448. Its totient is φ = 114661785600.

The previous prime is 501749821423. The next prime is 501749821459. The reversal of 501749821440 is 44128947105.

501749821440 is a `hidden beast` number, since 5 + 0 + 17 + 498 + 2 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 104507040 + ... + 104511840.

Almost surely, 2^501749821440 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 501749821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031788030224).

501749821440 is an abundant number, since it is smaller than the sum of its proper divisors (1561826239008).

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

501749821440 is an frugal number, since it uses more digits than its factorization.

501749821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 501749821440 in words is "five hundred one billion, seven hundred forty-nine million, eight hundred twenty-one thousand, four hundred forty".