350245504442040 has 256 divisors, whose sum is σ = 1059528721305600. Its totient is φ = 92621271773184.

The previous prime is 350245504442027. The next prime is 350245504442081. The reversal of 350245504442040 is 40244405542053.

It is a super-2 number, since 2×350245504442040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 350245504441983 and 350245504442001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7111126054 + ... + 7111175306.

It is an arithmetic number, because the mean of its divisors is an integer number (4138784067600).

Almost surely, 2^{350245504442040} is an apocalyptic number.

350245504442040 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 350245504442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529764360652800).

350245504442040 is an abundant number, since it is smaller than the sum of its proper divisors (709283216863560).

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

350245504442040 is a wasteful number, since it uses less digits than its factorization.

350245504442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50526 (or 50522 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 42.

Adding to 350245504442040 its reverse (40244405542053), we get a palindrome (390489909984093).

The spelling of 350245504442040 in words is "three hundred fifty trillion, two hundred forty-five billion, five hundred four million, four hundred forty-two thousand, forty".