40868755200 has 1728 divisors, whose sum is σ = 194167572480. Its totient is φ = 8174960640.

The previous prime is 40868755199. The next prime is 40868755229. The reversal of 40868755200 is 255786804.

40868755200 is a `hidden beast` number, since 40 + 8 + 6 + 87 + 5 + 520 + 0 = 666.

40868755200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 361670344 + ... + 361670456.

Almost surely, 2^40868755200 is an apocalyptic number.

40868755200 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 40868755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97083786240).

40868755200 is an abundant number, since it is smaller than the sum of its proper divisors (153298817280).

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

40868755200 is a wasteful number, since it uses less digits than its factorization.

40868755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 40868755200 in words is "forty billion, eight hundred sixty-eight million, seven hundred fifty-five thousand, two hundred".