40646624400 has 180 divisors, whose sum is σ = 141196135860. Its totient is φ = 10828262400.

The previous prime is 40646624341. The next prime is 40646624441. The reversal of 40646624400 is 442664604.

It is a happy number.

40646624400 is a `hidden beast` number, since 4 + 0 + 646 + 6 + 2 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6814172304 + 33832452096 = 82548^2 + 183936^2 .

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

It is a super-2 number, since 2×40646624400² (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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3987310 + ... + 3997490.

It is an arithmetic number, because the mean of its divisors is an integer number (784422977).

Almost surely, 2^40646624400 is an apocalyptic number.

40646624400 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 40646624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70598067930).

40646624400 is an abundant number, since it is smaller than the sum of its proper divisors (100549511460).

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

40646624400 is a wasteful number, since it uses less digits than its factorization.

40646624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11314 (or 11300 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 40646624400 in words is "forty billion, six hundred forty-six million, six hundred twenty-four thousand, four hundred".