350503042112400 has 240 divisors, whose sum is σ = 1124383820256320. Its totient is φ = 93333897216000.

The previous prime is 350503042112341. The next prime is 350503042112407. The reversal of 350503042112400 is 4211240305053.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (350503042112407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2491793271 + ... + 2491933929.

Almost surely, 2^{350503042112400} is an apocalyptic number.

350503042112400 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 350503042112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562191910128160).

350503042112400 is an abundant number, since it is smaller than the sum of its proper divisors (773880778143920).

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

350503042112400 is a wasteful number, since it uses less digits than its factorization.

350503042112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143634 (or 143623 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 350503042112400 its reverse (4211240305053), we get a palindrome (354714282417453).

The spelling of 350503042112400 in words is "three hundred fifty trillion, five hundred three billion, forty-two million, one hundred twelve thousand, four hundred".