352050452040 has 1024 divisors, whose sum is σ = 1408637952000. Its totient is φ = 68434329600.

The previous prime is 352050452029. The next prime is 352050452077. The reversal of 352050452040 is 40254050253.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 352050451989 and 352050452007.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 794696059 + ... + 794696501.

It is an arithmetic number, because the mean of its divisors is an integer number (1375623000).

Almost surely, 2^352050452040 is an apocalyptic number.

352050452040 is a gapful number since it is divisible by the number (30) 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 352050452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704318976000).

352050452040 is an abundant number, since it is smaller than the sum of its proper divisors (1056587499960).

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

352050452040 is a wasteful number, since it uses less digits than its factorization.

352050452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 352050452040 in words is "three hundred fifty-two billion, fifty million, four hundred fifty-two thousand, forty".