40627477800 has 1440 divisors, whose sum is σ = 183908229120. Its totient is φ = 8230118400.

The previous prime is 40627477741. The next prime is 40627477801. The reversal of 40627477800 is 877472604.

40627477800 is a `hidden beast` number, since 40 + 62 + 7 + 477 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40627477801) 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 359 ways as a sum of consecutive naturals, for example, 319901337 + ... + 319901463.

It is an arithmetic number, because the mean of its divisors is an integer number (127714048).

Almost surely, 2^40627477800 is an apocalyptic number.

40627477800 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 40627477800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91954114560).

40627477800 is an abundant number, since it is smaller than the sum of its proper divisors (143280751320).

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

40627477800 is a wasteful number, since it uses less digits than its factorization.

40627477800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 40627477800 in words is "forty billion, six hundred twenty-seven million, four hundred seventy-seven thousand, eight hundred".