4314420011040 has 192 divisors, whose sum is σ = 13617161994240. Its totient is φ = 1148250414080.

The previous prime is 4314420011023. The next prime is 4314420011101. The reversal of 4314420011040 is 401100244134.

It is a super-3 number, since 3×4314420011040³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4314420011040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010164105 + ... + 1010168375.

It is an arithmetic number, because the mean of its divisors is an integer number (70922718720).

Almost surely, 2^{4314420011040} is an apocalyptic number.

4314420011040 is a gapful number since it is divisible by the number (40) 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 4314420011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808580997120).

4314420011040 is an abundant number, since it is smaller than the sum of its proper divisors (9302741983200).

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

4314420011040 is a wasteful number, since it uses less digits than its factorization.

4314420011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7935 (or 7927 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4314420011040 its reverse (401100244134), we get a palindrome (4715520255174).

The spelling of 4314420011040 in words is "four trillion, three hundred fourteen billion, four hundred twenty million, eleven thousand, forty".