350361181440 has 432 divisors, whose sum is σ = 1249384722768. Its totient is φ = 90582810624.

The previous prime is 350361181433. The next prime is 350361181459. The reversal of 350361181440 is 44181163053.

350361181440 is a `hidden beast` number, since 3 + 5 + 0 + 36 + 1 + 181 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1448868096 + 348912313344 = 38064^2 + 590688^2 .

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 = 350361181395 and 350361181404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135116784 + ... + 135119376.

Almost surely, 2^350361181440 is an apocalyptic number.

350361181440 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 350361181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624692361384).

350361181440 is an abundant number, since it is smaller than the sum of its proper divisors (899023541328).

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

350361181440 is a wasteful number, since it uses less digits than its factorization.

350361181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 350361181440 in words is "three hundred fifty billion, three hundred sixty-one million, one hundred eighty-one thousand, four hundred forty".