40220045308800 has 864 divisors, whose sum is σ = 169775183190600. Its totient is φ = 9037318348800.

The previous prime is 40220045308799. The next prime is 40220045308801. The reversal of 40220045308800 is 880354002204.

40220045308800 is a `hidden beast` number, since 40 + 2 + 2 + 0 + 0 + 4 + 530 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40220045308799) and next prime (40220045308801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40220045308801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 83019270 + ... + 83502330.

Almost surely, 2^{40220045308800} is an apocalyptic number.

40220045308800 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 40220045308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84887591595300).

40220045308800 is an abundant number, since it is smaller than the sum of its proper divisors (129555137881800).

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

40220045308800 is a wasteful number, since it uses less digits than its factorization.

40220045308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483164 (or 483137 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 40220045308800 in words is "forty trillion, two hundred twenty billion, forty-five million, three hundred eight thousand, eight hundred".