4234210400000 has 864 divisors, whose sum is σ = 12968349972480. Its totient is φ = 1346641920000.

The previous prime is 4234210399973. The next prime is 4234210400033. The reversal of 4234210400000 is 40124324.

It is a super-2 number, since 2×4234210400000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7520799719 + ... + 7520800281.

It is an arithmetic number, because the mean of its divisors is an integer number (15009664320).

Almost surely, 2^{4234210400000} is an apocalyptic number.

4234210400000 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 4234210400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484174986240).

4234210400000 is an abundant number, since it is smaller than the sum of its proper divisors (8734139572480).

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

4234210400000 is an frugal number, since it uses more digits than its factorization.

4234210400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4234210400000 its reverse (40124324), we get a palindrome (4234250524324).

The spelling of 4234210400000 in words is "four trillion, two hundred thirty-four billion, two hundred ten million, four hundred thousand".