234011400000 has 336 divisors, whose sum is σ = 884466640512. Its totient is φ = 53487360000.

The previous prime is 234011399969. The next prime is 234011400001. The reversal of 234011400000 is 4110432.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×234011400000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234011400001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4172142 + ... + 4227858.

It is an arithmetic number, because the mean of its divisors is an integer number (2632341192).

Almost surely, 2^234011400000 is an apocalyptic number.

234011400000 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 234011400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442233320256).

234011400000 is an abundant number, since it is smaller than the sum of its proper divisors (650455240512).

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

234011400000 is an frugal number, since it uses more digits than its factorization.

234011400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55764 (or 55734 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 234011400000 its reverse (4110432), we get a palindrome (234015510432).

The spelling of 234011400000 in words is "two hundred thirty-four billion, eleven million, four hundred thousand".