350003424001440 has 192 divisors, whose sum is σ = 1202774301106560. Its totient is φ = 84846827274240.

The previous prime is 350003424001327. The next prime is 350003424001457. The reversal of 350003424001440 is 44100424300053.

It is a super-2 number, since 2×350003424001440² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 350003424001398 and 350003424001407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182414752 + ... + 184323488.

It is an arithmetic number, because the mean of its divisors is an integer number (6264449484930).

Almost surely, 2^{350003424001440} is an apocalyptic number.

350003424001440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350003424001440 is an abundant number, since it is smaller than the sum of its proper divisors (852770877105120).

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

350003424001440 is a wasteful number, since it uses less digits than its factorization.

350003424001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943495 (or 1943487 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 350003424001440 its reverse (44100424300053), we get a palindrome (394103848301493).

The spelling of 350003424001440 in words is "three hundred fifty trillion, three billion, four hundred twenty-four million, one thousand, four hundred forty".