352403382240 has 2592 divisors, whose sum is σ = 1709843675904. Its totient is φ = 67722117120.

The previous prime is 352403382239. The next prime is 352403382263. The reversal of 352403382240 is 42283304253.

352403382240 is a `hidden beast` number, since 3 + 5 + 2 + 403 + 3 + 8 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 352403382195 and 352403382204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11367851025 + ... + 11367851055.

It is an arithmetic number, because the mean of its divisors is an integer number (659661912).

Almost surely, 2^352403382240 is an apocalyptic number.

352403382240 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 352403382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854921837952).

352403382240 is an abundant number, since it is smaller than the sum of its proper divisors (1357440293664).

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

352403382240 is a wasteful number, since it uses less digits than its factorization.

352403382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 352403382240 its reverse (42283304253), we get a palindrome (394686686493).

The spelling of 352403382240 in words is "three hundred fifty-two billion, four hundred three million, three hundred eighty-two thousand, two hundred forty".