40488094080 has 1024 divisors, whose sum is σ = 175472640000. Its totient is φ = 8617549824.

The previous prime is 40488093949. The next prime is 40488094093. The reversal of 40488094080 is 8049088404.

40488094080 is a `hidden beast` number, since 4 + 0 + 488 + 0 + 94 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181560849 + ... + 181561071.

It is an arithmetic number, because the mean of its divisors is an integer number (171360000).

Almost surely, 2^40488094080 is an apocalyptic number.

40488094080 is a gapful number since it is divisible by the number (40) 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 40488094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87736320000).

40488094080 is an abundant number, since it is smaller than the sum of its proper divisors (134984545920).

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

40488094080 is a wasteful number, since it uses less digits than its factorization.

40488094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 40488094080 in words is "forty billion, four hundred eighty-eight million, ninety-four thousand, eighty".