40722321024 has 768 divisors, whose sum is σ = 155046528000. Its totient is φ = 10546744320.

The previous prime is 40722321001. The next prime is 40722321049. The reversal of 40722321024 is 42012322704.

40722321024 is a `hidden beast` number, since 407 + 2 + 23 + 210 + 24 = 666.

40722321024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117355219 + ... + 117355565.

It is an arithmetic number, because the mean of its divisors is an integer number (201883500).

Almost surely, 2^40722321024 is an apocalyptic number.

40722321024 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 40722321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77523264000).

40722321024 is an abundant number, since it is smaller than the sum of its proper divisors (114324206976).

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

40722321024 is an equidigital number, since it uses as much as digits as its factorization.

40722321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 40722321024 its reverse (42012322704), we get a palindrome (82734643728).

The spelling of 40722321024 in words is "forty billion, seven hundred twenty-two million, three hundred twenty-one thousand, twenty-four".