40068724800 has 336 divisors, whose sum is σ = 142133888960. Its totient is φ = 9823887360.

The previous prime is 40068724757. The next prime is 40068724819. The reversal of 40068724800 is 842786004.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17658066 + ... + 17660334.

Almost surely, 2^40068724800 is an apocalyptic number.

40068724800 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 40068724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71066944480).

40068724800 is an abundant number, since it is smaller than the sum of its proper divisors (102065164160).

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

40068724800 is a wasteful number, since it uses less digits than its factorization.

40068724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 40068724800 in words is "forty billion, sixty-eight million, seven hundred twenty-four thousand, eight hundred".