40045255040 has 256 divisors, whose sum is σ = 111411417600. Its totient is φ = 13481164800.

The previous prime is 40045254983. The next prime is 40045255069. The reversal of 40045255040 is 4055254004.

It is a junction number, because it is equal to n+sod(n) for n = 40045254994 and 40045255012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66630740 + ... + 66631340.

It is an arithmetic number, because the mean of its divisors is an integer number (435200850).

Almost surely, 2^40045255040 is an apocalyptic number.

40045255040 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 40045255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55705708800).

40045255040 is an abundant number, since it is smaller than the sum of its proper divisors (71366162560).

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

40045255040 is a wasteful number, since it uses less digits than its factorization.

40045255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The spelling of 40045255040 in words is "forty billion, forty-five million, two hundred fifty-five thousand, forty".