4234214022000 has 160 divisors (see below), whose sum is σ = 13783643028480. Its totient is φ = 1118161209600.

The previous prime is 4234214021951. The next prime is 4234214022041. The reversal of 4234214022000 is 2204124324.

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

It is a congruent number.

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, 2807740 + ... + 4043739.

It is an arithmetic number, because the mean of its divisors is an integer number (86147768928).

Almost surely, 2^{4234214022000} is an apocalyptic number.

4234214022000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234214022000 is an abundant number, since it is smaller than the sum of its proper divisors (9549429006480).

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

4234214022000 is a wasteful number, since it uses less digits than its factorization.

4234214022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851608 (or 6851592 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4234214022000 its reverse (2204124324), we get a palindrome (4236418146324).

The spelling of 4234214022000 in words is "four trillion, two hundred thirty-four billion, two hundred fourteen million, twenty-two thousand".