4001113460340 has 192 divisors, whose sum is σ = 13060104099840. Its totient is φ = 1015618176000.

The previous prime is 4001113460329. The next prime is 4001113460341. The reversal of 4001113460340 is 430643111004.

4001113460340 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 1 + 13 + 4 + 603 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001113460341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 938001 + ... + 2980280.

It is an arithmetic number, because the mean of its divisors is an integer number (68021375520).

Almost surely, 2^{4001113460340} is an apocalyptic number.

It is an amenable number.

4001113460340 is an abundant number, since it is smaller than the sum of its proper divisors (9058990639500).

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

4001113460340 is a wasteful number, since it uses less digits than its factorization.

4001113460340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918391 (or 3918383 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4001113460340 its reverse (430643111004), we get a palindrome (4431756571344).

The spelling of 4001113460340 in words is "four trillion, one billion, one hundred thirteen million, four hundred sixty thousand, three hundred forty".