2134003401120 has 384 divisors, whose sum is σ = 7189126963200. Its totient is φ = 530535702528.

The previous prime is 2134003401097. The next prime is 2134003401137. The reversal of 2134003401120 is 211043004312.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225505509 + ... + 225514971.

It is an arithmetic number, because the mean of its divisors is an integer number (18721684800).

Almost surely, 2^{2134003401120} is an apocalyptic number.

2134003401120 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 2134003401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594563481600).

2134003401120 is an abundant number, since it is smaller than the sum of its proper divisors (5055123562080).

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

2134003401120 is a wasteful number, since it uses less digits than its factorization.

2134003401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 9884 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2134003401120 its reverse (211043004312), we get a palindrome (2345046405432).

The spelling of 2134003401120 in words is "two trillion, one hundred thirty-four billion, three million, four hundred one thousand, one hundred twenty".