40844489952000 has 4608 divisors, whose sum is σ = 181432289525760. Its totient is φ = 7927234560000.

The previous prime is 40844489951981. The next prime is 40844489952127. The reversal of 40844489952000 is 25998444804.

It is a happy number.

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 511 ways as a sum of consecutive naturals, for example, 421077215952 + ... + 421077216048.

It is an arithmetic number, because the mean of its divisors is an integer number (39373326720).

Almost surely, 2^{40844489952000} is an apocalyptic number.

40844489952000 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 40844489952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90716144762880).

40844489952000 is an abundant number, since it is smaller than the sum of its proper divisors (140587799573760).

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

40844489952000 is a wasteful number, since it uses less digits than its factorization.

40844489952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 40844489952000 in words is "forty trillion, eight hundred forty-four billion, four hundred eighty-nine million, nine hundred fifty-two thousand".