234420156787200 has 1440 divisors, whose sum is σ = 837936818611200. Its totient is φ = 57745404887040.

The previous prime is 234420156787043. The next prime is 234420156787261. The reversal of 234420156787200 is 2787651024432.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90895755511 + ... + 90895758089.

It is an arithmetic number, because the mean of its divisors is an integer number (581900568480).

Almost surely, 2^{234420156787200} is an apocalyptic number.

234420156787200 is a gapful number since it is divisible by the number (20) 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 234420156787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418968409305600).

234420156787200 is an abundant number, since it is smaller than the sum of its proper divisors (603516661824000).

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

234420156787200 is a wasteful number, since it uses less digits than its factorization.

234420156787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 234420156787200 in words is "two hundred thirty-four trillion, four hundred twenty billion, one hundred fifty-six million, seven hundred eighty-seven thousand, two hundred".