40501344000 has 1152 divisors, whose sum is σ = 161993115648. Its totient is φ = 8867020800.

The previous prime is 40501343969. The next prime is 40501344007. The reversal of 40501344000 is 44310504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40501344007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 487967959 + ... + 487968041.

It is an arithmetic number, because the mean of its divisors is an integer number (140619024).

Almost surely, 2^40501344000 is an apocalyptic number.

40501344000 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 40501344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80996557824).

40501344000 is an abundant number, since it is smaller than the sum of its proper divisors (121491771648).

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

40501344000 is a wasteful number, since it uses less digits than its factorization.

40501344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 40501344000 its reverse (44310504), we get a palindrome (40545654504).

The spelling of 40501344000 in words is "forty billion, five hundred one million, three hundred forty-four thousand".