9484218253440 has 2560 divisors, whose sum is σ = 42298502400000. Its totient is φ = 2018244501504.

The previous prime is 9484218253439. The next prime is 9484218253463. The reversal of 9484218253440 is 443528124849.

9484218253440 is a `hidden beast` number, since 9 + 4 + 8 + 4 + 21 + 82 + 534 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 22635365551 + ... + 22635365969.

It is an arithmetic number, because the mean of its divisors is an integer number (16522852500).

Almost surely, 2^{9484218253440} is an apocalyptic number.

9484218253440 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 9484218253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21149251200000).

9484218253440 is an abundant number, since it is smaller than the sum of its proper divisors (32814284146560).

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

9484218253440 is a wasteful number, since it uses less digits than its factorization.

9484218253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 9484218253440 in words is "nine trillion, four hundred eighty-four billion, two hundred eighteen million, two hundred fifty-three thousand, four hundred forty".