40356940800 has 1056 divisors, whose sum is σ = 159070961664. Its totient is φ = 8921088000.

The previous prime is 40356940787. The next prime is 40356940891. The reversal of 40356940800 is 804965304.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 602342367 + ... + 602342433.

Almost surely, 2^40356940800 is an apocalyptic number.

40356940800 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 40356940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79535480832).

40356940800 is an abundant number, since it is smaller than the sum of its proper divisors (118714020864).

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

40356940800 is a wasteful number, since it uses less digits than its factorization.

40356940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

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

The spelling of 40356940800 in words is "forty billion, three hundred fifty-six million, nine hundred forty thousand, eight hundred".