40220064000 has 720 divisors, whose sum is σ = 152786874240. Its totient is φ = 10503475200.

The previous prime is 40220063969. The next prime is 40220064019. The reversal of 40220064000 is 46002204.

40220064000 is a `hidden beast` number, since 4 + 0 + 2 + 20 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 152927869 + ... + 152928131.

It is an arithmetic number, because the mean of its divisors is an integer number (212203992).

Almost surely, 2^40220064000 is an apocalyptic number.

40220064000 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 40220064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76393437120).

40220064000 is an abundant number, since it is smaller than the sum of its proper divisors (112566810240).

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

40220064000 is an equidigital number, since it uses as much as digits as its factorization.

40220064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40220064000 its reverse (46002204), we get a palindrome (40266066204).

The spelling of 40220064000 in words is "forty billion, two hundred twenty million, sixty-four thousand".