3013011320040 has 192 divisors, whose sum is σ = 10312999257600. Its totient is φ = 760788288000.

The previous prime is 3013011319951. The next prime is 3013011320083. The reversal of 3013011320040 is 400231103103.

3013011320040 is a `hidden beast` number, since 3 + 0 + 1 + 301 + 1 + 320 + 0 + 40 = 666.

3013011320040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3013011319995 and 3013011320022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13231950 + ... + 13457730.

It is an arithmetic number, because the mean of its divisors is an integer number (53713537800).

Almost surely, 2^{3013011320040} is an apocalyptic number.

3013011320040 is a gapful number since it is divisible by the number (30) 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 3013011320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156499628800).

3013011320040 is an abundant number, since it is smaller than the sum of its proper divisors (7299987937560).

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

3013011320040 is a wasteful number, since it uses less digits than its factorization.

3013011320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227768 (or 227761 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3013011320040 its reverse (400231103103), we get a palindrome (3413242423143).

The spelling of 3013011320040 in words is "three trillion, thirteen billion, eleven million, three hundred twenty thousand, forty".