40889224800 has 432 divisors, whose sum is σ = 147137582592. Its totient is φ = 10683187200.

The previous prime is 40889224787. The next prime is 40889224837. The reversal of 40889224800 is 842298804.

It is a happy number.

40889224800 is a `hidden beast` number, since 4 + 0 + 88 + 92 + 2 + 480 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88696570 + ... + 88697030.

It is an arithmetic number, because the mean of its divisors is an integer number (340596256).

Almost surely, 2^40889224800 is an apocalyptic number.

40889224800 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 40889224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73568791296).

40889224800 is an abundant number, since it is smaller than the sum of its proper divisors (106248357792).

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

40889224800 is a wasteful number, since it uses less digits than its factorization.

40889224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 40889224800 in words is "forty billion, eight hundred eighty-nine million, two hundred twenty-four thousand, eight hundred".