40840741582080 has 288 divisors, whose sum is σ = 142303852712448. Its totient is φ = 9900020736000.

The previous prime is 40840741582051. The next prime is 40840741582087. The reversal of 40840741582080 is 8028514704804.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40840741582087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703309207 + ... + 703367273.

It is an arithmetic number, because the mean of its divisors is an integer number (494110599696).

Almost surely, 2^{40840741582080} is an apocalyptic number.

40840741582080 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 40840741582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71151926356224).

40840741582080 is an abundant number, since it is smaller than the sum of its proper divisors (101463111130368).

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

40840741582080 is a wasteful number, since it uses less digits than its factorization.

40840741582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74753 (or 74739 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 51.

The spelling of 40840741582080 in words is "forty trillion, eight hundred forty billion, seven hundred forty-one million, five hundred eighty-two thousand, eighty".