40021325344 has 192 divisors, whose sum is σ = 106431010560. Its totient is φ = 14391336960.

The previous prime is 40021325341. The next prime is 40021325359. The reversal of 40021325344 is 44352312004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (40021325341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5409712 + ... + 5417104.

It is an arithmetic number, because the mean of its divisors is an integer number (554328180).

Almost surely, 2^40021325344 is an apocalyptic number.

40021325344 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 40021325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53215505280).

40021325344 is an abundant number, since it is smaller than the sum of its proper divisors (66409685216).

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

40021325344 is a wasteful number, since it uses less digits than its factorization.

40021325344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7460 (or 7426 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 40021325344 its reverse (44352312004), we get a palindrome (84373637348).

The spelling of 40021325344 in words is "forty billion, twenty-one million, three hundred twenty-five thousand, three hundred forty-four".