40359889440 has 672 divisors, whose sum is σ = 157791775680. Its totient is φ = 9688025088.

The previous prime is 40359889411. The next prime is 40359889477. The reversal of 40359889440 is 4498895304.

40359889440 is a `hidden beast` number, since 4 + 0 + 3 + 598 + 8 + 9 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 111 ways as a sum of consecutive naturals, for example, 65201451 + ... + 65202069.

It is an arithmetic number, because the mean of its divisors is an integer number (234809190).

Almost surely, 2^40359889440 is an apocalyptic number.

40359889440 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 40359889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78895887840).

40359889440 is an abundant number, since it is smaller than the sum of its proper divisors (117431886240).

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

40359889440 is a wasteful number, since it uses less digits than its factorization.

40359889440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 40359889440 in words is "forty billion, three hundred fifty-nine million, eight hundred eighty-nine thousand, four hundred forty".