40621744800 has 1296 divisors, whose sum is σ = 190366925112. Its totient is φ = 8051097600.

The previous prime is 40621744789. The next prime is 40621744819. The reversal of 40621744800 is 844712604.

40621744800 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 174 + 480 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 350887824 + 40270856976 = 18732^2 + 200676^2 .

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 215 ways as a sum of consecutive naturals, for example, 77968540 + ... + 77969060.

Almost surely, 2^40621744800 is an apocalyptic number.

40621744800 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 40621744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95183462556).

40621744800 is an abundant number, since it is smaller than the sum of its proper divisors (149745180312).

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

40621744800 is a wasteful number, since it uses less digits than its factorization.

40621744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 40621744800 in words is "forty billion, six hundred twenty-one million, seven hundred forty-four thousand, eight hundred".