2001420113040 has 120 divisors (see below), whose sum is σ = 6722096242680. Its totient is φ = 533659594752.

The previous prime is 2001420113029. The next prime is 2001420113047. The reversal of 2001420113040 is 403110241002.

2001420113040 is a `hidden beast` number, since 200 + 1 + 420 + 1 + 1 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100065934224 + 1901354178816 = 316332^2 + 1378896^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2001420113047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7492824 + ... + 7755336.

It is an arithmetic number, because the mean of its divisors is an integer number (56017468689).

Almost surely, 2^{2001420113040} is an apocalyptic number.

2001420113040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001420113040 is an abundant number, since it is smaller than the sum of its proper divisors (4720676129640).

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

2001420113040 is a wasteful number, since it uses less digits than its factorization.

2001420113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273121 (or 273112 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2001420113040 its reverse (403110241002), we get a palindrome (2404530354042).

The spelling of 2001420113040 in words is "two trillion, one billion, four hundred twenty million, one hundred thirteen thousand, forty".