7240180861440 has 320 divisors, whose sum is σ = 25723468235520. Its totient is φ = 1930283827200.

The previous prime is 7240180861423. The next prime is 7240180861477. The reversal of 7240180861440 is 441680810427.

7240180861440 is a `hidden beast` number, since 7 + 24 + 0 + 1 + 8 + 0 + 8 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 417268765 + ... + 417286115.

It is an arithmetic number, because the mean of its divisors is an integer number (80385838236).

Almost surely, 2^{7240180861440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7240180861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12861734117760).

7240180861440 is an abundant number, since it is smaller than the sum of its proper divisors (18483287374080).

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

7240180861440 is a wasteful number, since it uses less digits than its factorization.

7240180861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23420 (or 23398 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 7240180861440 in words is "seven trillion, two hundred forty billion, one hundred eighty million, eight hundred sixty-one thousand, four hundred forty".