40600145440 has 192 divisors, whose sum is σ = 104434323840. Its totient is φ = 14865776640.

The previous prime is 40600145431. The next prime is 40600145477. The reversal of 40600145440 is 4454100604.

It is a junction number, because it is equal to n+sod(n) for n = 40600145399 and 40600145408.

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 31 ways as a sum of consecutive naturals, for example, 10793160 + ... + 10796920.

It is an arithmetic number, because the mean of its divisors is an integer number (543928770).

Almost surely, 2^40600145440 is an apocalyptic number.

40600145440 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 40600145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52217161920).

40600145440 is an abundant number, since it is smaller than the sum of its proper divisors (63834178400).

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

40600145440 is a wasteful number, since it uses less digits than its factorization.

40600145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 40600145440 in words is "forty billion, six hundred million, one hundred forty-five thousand, four hundred forty".