9488290775040 has 2304 divisors, whose sum is σ = 42292736478720. Its totient is φ = 1925657395200.

The previous prime is 9488290775027. The next prime is 9488290775081. The reversal of 9488290775040 is 405770928849.

9488290775040 is a `hidden beast` number, since 9 + 48 + 82 + 9 + 0 + 7 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88675614667 + ... + 88675614773.

It is an arithmetic number, because the mean of its divisors is an integer number (18356222430).

Almost surely, 2^{9488290775040} is an apocalyptic number.

9488290775040 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 9488290775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21146368239360).

9488290775040 is an abundant number, since it is smaller than the sum of its proper divisors (32804445703680).

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

9488290775040 is a wasteful number, since it uses less digits than its factorization.

9488290775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 9488290775040 in words is "nine trillion, four hundred eighty-eight billion, two hundred ninety million, seven hundred seventy-five thousand, forty".