40435968000 has 384 divisors, whose sum is σ = 138271311360. Its totient is φ = 10484121600.

The previous prime is 40435967989. The next prime is 40435968031. The reversal of 40435968000 is 86953404.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 40435968000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28415289 + ... + 28416711.

It is an arithmetic number, because the mean of its divisors is an integer number (360081540).

Almost surely, 2^40435968000 is an apocalyptic number.

40435968000 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 40435968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69135655680).

40435968000 is an abundant number, since it is smaller than the sum of its proper divisors (97835343360).

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

40435968000 is a wasteful number, since it uses less digits than its factorization.

40435968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 40435968000 in words is "forty billion, four hundred thirty-five million, nine hundred sixty-eight thousand".