350803440000 has 1440 divisors, whose sum is σ = 1447609897800. Its totient is φ = 83566080000.

The previous prime is 350803439989. The next prime is 350803440011. The reversal of 350803440000 is 44308053.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (350803439989) and next prime (350803440011).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 11316239985 + ... + 11316240015.

Almost surely, 2^350803440000 is an apocalyptic number.

350803440000 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 350803440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723804948900).

350803440000 is an abundant number, since it is smaller than the sum of its proper divisors (1096806457800).

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

350803440000 is an equidigital number, since it uses as much as digits as its factorization.

350803440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 350803440000 its reverse (44308053), we get a palindrome (350847748053).

The spelling of 350803440000 in words is "three hundred fifty billion, eight hundred three million, four hundred forty thousand".