163817275440 has 1280 divisors, whose sum is σ = 701139124224. Its totient is φ = 30656102400.

The previous prime is 163817275429. The next prime is 163817275459. The reversal of 163817275440 is 44572718361.

It is a super-4 number, since 4×163817275440⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 163817275440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 494916075 + ... + 494916405.

Almost surely, 2^163817275440 is an apocalyptic number.

163817275440 is a gapful number since it is divisible by the number (10) 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 163817275440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350569562112).

163817275440 is an abundant number, since it is smaller than the sum of its proper divisors (537321848784).

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

163817275440 is a wasteful number, since it uses less digits than its factorization.

163817275440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 163817275440 in words is "one hundred sixty-three billion, eight hundred seventeen million, two hundred seventy-five thousand, four hundred forty".