40221025824 has 288 divisors, whose sum is σ = 130819038336. Its totient is φ = 10590289920.

The previous prime is 40221025813. The next prime is 40221025837. The reversal of 40221025824 is 42852012204.

It is a junction number, because it is equal to n+sod(n) for n = 40221025791 and 40221025800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8973664 + ... + 8978144.

It is an arithmetic number, because the mean of its divisors is an integer number (454232772).

Almost surely, 2^40221025824 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 40221025824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65409519168).

40221025824 is an abundant number, since it is smaller than the sum of its proper divisors (90598012512).

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

40221025824 is a wasteful number, since it uses less digits than its factorization.

40221025824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 40221025824 in words is "forty billion, two hundred twenty-one million, twenty-five thousand, eight hundred twenty-four".