9780718429440 has 1008 divisors, whose sum is σ = 40964310912000. Its totient is φ = 2235519627264.

The previous prime is 9780718429409. The next prime is 9780718429463. The reversal of 9780718429440 is 449248170879.

9780718429440 is a `hidden beast` number, since 9 + 7 + 8 + 0 + 7 + 184 + 2 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 320044881 + ... + 320075439.

Almost surely, 2^{9780718429440} is an apocalyptic number.

9780718429440 is a gapful number since it is divisible by the number (90) 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 9780718429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482155456000).

9780718429440 is an abundant number, since it is smaller than the sum of its proper divisors (31183592482560).

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

9780718429440 is an frugal number, since it uses more digits than its factorization.

9780718429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30619 (or 30576 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 9780718429440 in words is "nine trillion, seven hundred eighty billion, seven hundred eighteen million, four hundred twenty-nine thousand, four hundred forty".