7040340901440 has 1344 divisors, whose sum is σ = 31592710195200. Its totient is φ = 1459474329600.

The previous prime is 7040340901427. The next prime is 7040340901441. The reversal of 7040340901440 is 441090430407.

7040340901440 is a `hidden beast` number, since 70 + 40 + 3 + 409 + 0 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 7040340901395 and 7040340901404.

It is not an unprimeable number, because it can be changed into a prime (7040340901441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2286565821 + ... + 2286568899.

It is an arithmetic number, because the mean of its divisors is an integer number (23506480800).

Almost surely, 2^{7040340901440} is an apocalyptic number.

7040340901440 is a gapful number since it is divisible by the number (70) 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 7040340901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15796355097600).

7040340901440 is an abundant number, since it is smaller than the sum of its proper divisors (24552369293760).

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

7040340901440 is a wasteful number, since it uses less digits than its factorization.

7040340901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 7040340901440 in words is "seven trillion, forty billion, three hundred forty million, nine hundred one thousand, four hundred forty".