9330426721440 has 1296 divisors, whose sum is σ = 36215909533440. Its totient is φ = 2185387776000.

The previous prime is 9330426721379. The next prime is 9330426721481. The reversal of 9330426721440 is 441276240339.

9330426721440 is a `hidden beast` number, since 9 + 3 + 3 + 0 + 426 + 7 + 214 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 61790905365 + ... + 61790905515.

It is an arithmetic number, because the mean of its divisors is an integer number (27944374640).

Almost surely, 2^{9330426721440} is an apocalyptic number.

9330426721440 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 9330426721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18107954766720).

9330426721440 is an abundant number, since it is smaller than the sum of its proper divisors (26885482812000).

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

9330426721440 is a wasteful number, since it uses less digits than its factorization.

9330426721440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 9330426721440 in words is "nine trillion, three hundred thirty billion, four hundred twenty-six million, seven hundred twenty-one thousand, four hundred forty".