9424061821440 has 3200 divisors, whose sum is σ = 42771799572480. Its totient is φ = 1934917632000.

The previous prime is 9424061821397. The next prime is 9424061821463. The reversal of 9424061821440 is 441281604249.

9424061821440 is a `hidden beast` number, since 9 + 4 + 2 + 4 + 0 + 618 + 21 + 4 + 4 + 0 = 666.

It is a super-5 number, since 5×9424061821440⁵ (a number of 66 digits) contains 55555 as substring.

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 319 ways as a sum of consecutive naturals, for example, 62411005365 + ... + 62411005515.

Almost surely, 2^{9424061821440} is an apocalyptic number.

9424061821440 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 9424061821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385899786240).

9424061821440 is an abundant number, since it is smaller than the sum of its proper divisors (33347737751040).

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

9424061821440 is a wasteful number, since it uses less digits than its factorization.

9424061821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 9424061821440 in words is "nine trillion, four hundred twenty-four billion, sixty-one million, eight hundred twenty-one thousand, four hundred forty".