2401134003114 has 256 divisors, whose sum is σ = 6218040950784. Its totient is φ = 600223219200.

The previous prime is 2401134003113. The next prime is 2401134003119. The reversal of 2401134003114 is 4113004311042.

It is not an unprimeable number, because it can be changed into a prime (2401134003113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241776729 + ... + 241786659.

It is an arithmetic number, because the mean of its divisors is an integer number (24289222464).

Almost surely, 2^{2401134003114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401134003114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109020475392).

2401134003114 is an abundant number, since it is smaller than the sum of its proper divisors (3816906947670).

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

2401134003114 is a wasteful number, since it uses less digits than its factorization.

2401134003114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2401134003114 its reverse (4113004311042), we get a palindrome (6514138314156).

It can be divided in two parts, 24011 and 34003114, that added together give a triangular number (34027125 = T₈₂₄₉).

The spelling of 2401134003114 in words is "two trillion, four hundred one billion, one hundred thirty-four million, three thousand, one hundred fourteen".