40347959500800 has 2688 divisors, whose sum is σ = 181827960122880. Its totient is φ = 8668430991360.

The previous prime is 40347959500753. The next prime is 40347959500819. The reversal of 40347959500800 is 800595974304.

40347959500800 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 7 + 9 + 59 + 500 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53299814022 + ... + 53299814778.

Almost surely, 2^{40347959500800} is an apocalyptic number.

40347959500800 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 40347959500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90913980061440).

40347959500800 is an abundant number, since it is smaller than the sum of its proper divisors (141480000622080).

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

40347959500800 is an frugal number, since it uses more digits than its factorization.

40347959500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 40347959500800 in words is "forty trillion, three hundred forty-seven billion, nine hundred fifty-nine million, five hundred thousand, eight hundred".