40878583200 has 864 divisors, whose sum is σ = 185273766720. Its totient is φ = 8622028800.

The previous prime is 40878583199. The next prime is 40878583223. The reversal of 40878583200 is 238587804.

40878583200 is a `hidden beast` number, since 40 + 8 + 7 + 8 + 583 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13757715 + ... + 13760685.

It is an arithmetic number, because the mean of its divisors is an integer number (214437230).

Almost surely, 2^40878583200 is an apocalyptic number.

40878583200 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 40878583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92636883360).

40878583200 is an abundant number, since it is smaller than the sum of its proper divisors (144395183520).

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

40878583200 is a wasteful number, since it uses less digits than its factorization.

40878583200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 40878583200 in words is "forty billion, eight hundred seventy-eight million, five hundred eighty-three thousand, two hundred".