4021434000000 has 448 divisors, whose sum is σ = 14836028846400. Its totient is φ = 1072368000000.

The previous prime is 4021433999987. The next prime is 4021434000011. The reversal of 4021434000000 is 4341204.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53962765 + ... + 54037235.

Almost surely, 2^{4021434000000} is an apocalyptic number.

4021434000000 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 4021434000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418014423200).

4021434000000 is an abundant number, since it is smaller than the sum of its proper divisors (10814594846400).

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

4021434000000 is an frugal number, since it uses more digits than its factorization.

4021434000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74524 (or 74481 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4021434000000 its reverse (4341204), we get a palindrome (4021438341204).

The spelling of 4021434000000 in words is "four trillion, twenty-one billion, four hundred thirty-four million", and thus it is an aban number.