3073072271040 has 1120 divisors, whose sum is σ = 11874337098624. Its totient is φ = 751512453120.

The previous prime is 3073072270993. The next prime is 3073072271047. The reversal of 3073072271040 is 401722703703.

It is a happy number.

3073072271040 is a `hidden beast` number, since 307 + 307 + 2 + 2 + 7 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3073072270986 and 3073072271004.

It is not an unprimeable number, because it can be changed into a prime (3073072271047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4227059157 + ... + 4227059883.

Almost surely, 2^{3073072271040} is an apocalyptic number.

3073072271040 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 3073072271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937168549312).

3073072271040 is an abundant number, since it is smaller than the sum of its proper divisors (8801264827584).

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

3073072271040 is a wasteful number, since it uses less digits than its factorization.

3073072271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

Adding to 3073072271040 its reverse (401722703703), we get a palindrome (3474794974743).

The spelling of 3073072271040 in words is "three trillion, seventy-three billion, seventy-two million, two hundred seventy-one thousand, forty".