2401034301042 has 128 divisors (see below), whose sum is σ = 5538183840000. Its totient is φ = 687403622400.

The previous prime is 2401034300999. The next prime is 2401034301073.

2401034301042 is nontrivially palindromic in base 10.

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, 91458334 + ... + 91484582.

It is an arithmetic number, because the mean of its divisors is an integer number (43267061250).

Almost surely, 2^{2401034301042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401034301042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769091920000).

2401034301042 is an abundant number, since it is smaller than the sum of its proper divisors (3137149538958).

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

2401034301042 is a wasteful number, since it uses less digits than its factorization.

2401034301042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27068.

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 2401034301042 in words is "two trillion, four hundred one billion, thirty-four million, three hundred one thousand, forty-two".