40221054432 has 144 divisors (see below), whose sum is σ = 124148344320. Its totient is φ = 12278117376.

The previous prime is 40221054413. The next prime is 40221054451. The reversal of 40221054432 is 23445012204.

40221054432 is a `hidden beast` number, since 4 + 0 + 2 + 210 + 5 + 443 + 2 = 666.

40221054432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40221054413) and next prime (40221054451).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 40221054396 and 40221054405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433194 + ... + 517782.

It is an arithmetic number, because the mean of its divisors is an integer number (862141280).

Almost surely, 2^40221054432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62074172160).

40221054432 is an abundant number, since it is smaller than the sum of its proper divisors (83927289888).

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

40221054432 is a wasteful number, since it uses less digits than its factorization.

40221054432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84745 (or 84734 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40221054432 its reverse (23445012204), we get a palindrome (63666066636).

The spelling of 40221054432 in words is "forty billion, two hundred twenty-one million, fifty-four thousand, four hundred thirty-two".