40550965200 has 180 divisors, whose sum is σ = 145935430368. Its totient is φ = 10813564800.

The previous prime is 40550965199. The next prime is 40550965201. The reversal of 40550965200 is 256905504.

40550965200 is a `hidden beast` number, since 40 + 5 + 5 + 0 + 96 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40550965199) and next prime (40550965201).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×40550965200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40550965201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 111396 + ... + 305795.

Almost surely, 2^40550965200 is an apocalyptic number.

40550965200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40550965200 is an abundant number, since it is smaller than the sum of its proper divisors (105384465168).

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

40550965200 is a wasteful number, since it uses less digits than its factorization.

40550965200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417224 (or 417201 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 40550965200 in words is "forty billion, five hundred fifty million, nine hundred sixty-five thousand, two hundred".