350435105022420 has 288 divisors, whose sum is σ = 1191122141803776. Its totient is φ = 82646848972800.

The previous prime is 350435105022407. The next prime is 350435105022449. The reversal of 350435105022420 is 24220501534053.

350435105022420 is a `hidden beast` number, since 3 + 50 + 4 + 3 + 510 + 50 + 2 + 2 + 42 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 553602537 + ... + 554235183.

It is an arithmetic number, because the mean of its divisors is an integer number (4135840770152).

Almost surely, 2^{350435105022420} is an apocalyptic number.

350435105022420 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 350435105022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595561070901888).

350435105022420 is an abundant number, since it is smaller than the sum of its proper divisors (840687036781356).

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

350435105022420 is a wasteful number, since it uses less digits than its factorization.

350435105022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640271 (or 640266 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 350435105022420 its reverse (24220501534053), we get a palindrome (374655606556473).

The spelling of 350435105022420 in words is "three hundred fifty trillion, four hundred thirty-five billion, one hundred five million, twenty-two thousand, four hundred twenty".