40212660224 has 128 divisors (see below), whose sum is σ = 90784324800. Its totient is φ = 17643601920.

The previous prime is 40212660221. The next prime is 40212660247. The reversal of 40212660224 is 42206621204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (40212660221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10451069 + ... + 10454915.

Almost surely, 2^40212660224 is an apocalyptic number.

40212660224 is a gapful number since it is divisible by the number (44) 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 40212660224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45392162400).

40212660224 is an abundant number, since it is smaller than the sum of its proper divisors (50571664576).

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

40212660224 is an equidigital number, since it uses as much as digits as its factorization.

40212660224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 40212660224 in words is "forty billion, two hundred twelve million, six hundred sixty thousand, two hundred twenty-four".