40551807600 has 300 divisors, whose sum is σ = 149475039384. Its totient is φ = 10521239040.

The previous prime is 40551807529. The next prime is 40551807619. The reversal of 40551807600 is 670815504.

40551807600 is a `hidden beast` number, since 40 + 5 + 5 + 1 + 8 + 0 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 1181887 + ... + 1215713.

Almost surely, 2^40551807600 is an apocalyptic number.

40551807600 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 40551807600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74737519692).

40551807600 is an abundant number, since it is smaller than the sum of its proper divisors (108923231784).

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

40551807600 is a wasteful number, since it uses less digits than its factorization.

40551807600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33894 (or 33874 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 40551807600 in words is "forty billion, five hundred fifty-one million, eight hundred seven thousand, six hundred".