40489325184000 has 2816 divisors, whose sum is σ = 175039633686528. Its totient is φ = 8062156800000.

The previous prime is 40489325183981. The next prime is 40489325184037. The reversal of 40489325184000 is 48152398404.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 149407103865 + ... + 149407104135.

Almost surely, 2^{40489325184000} is an apocalyptic number.

40489325184000 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 40489325184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87519816843264).

40489325184000 is an abundant number, since it is smaller than the sum of its proper divisors (134550308502528).

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

40489325184000 is a wasteful number, since it uses less digits than its factorization.

40489325184000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 40489325184000 in words is "forty trillion, four hundred eighty-nine billion, three hundred twenty-five million, one hundred eighty-four thousand".