43214122023040 has 128 divisors (see below), whose sum is σ = 103750314732720. Its totient is φ = 17211819294720.

The previous prime is 43214122023019. The next prime is 43214122023047. The reversal of 43214122023040 is 4032022141234.

It can be written as a sum of positive squares in 8 ways, for example, as 18707424243264 + 24506697779776 = 4325208^2 + 4950424^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×43214122023040³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (43214122023047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 442895860 + ... + 442993420.

Almost surely, 2^{43214122023040} is an apocalyptic number.

43214122023040 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 43214122023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51875157366360).

43214122023040 is an abundant number, since it is smaller than the sum of its proper divisors (60536192709680).

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

43214122023040 is a wasteful number, since it uses less digits than its factorization.

43214122023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100530 (or 100518 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 43214122023040 its reverse (4032022141234), we get a palindrome (47246144164274).

The spelling of 43214122023040 in words is "forty-three trillion, two hundred fourteen billion, one hundred twenty-two million, twenty-three thousand, forty".