40721414104 has 64 divisors (see below), whose sum is σ = 89110160640. Its totient is φ = 17083547520.

The previous prime is 40721414057. The next prime is 40721414147. The reversal of 40721414104 is 40141412704.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1299339 + ... + 1330309.

It is an arithmetic number, because the mean of its divisors is an integer number (1392346260).

Almost surely, 2^40721414104 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 40721414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44555080320).

40721414104 is an abundant number, since it is smaller than the sum of its proper divisors (48388746536).

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

40721414104 is a wasteful number, since it uses less digits than its factorization.

40721414104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31480 (or 31476 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

Adding to 40721414104 its reverse (40141412704), we get a palindrome (80862826808).

The spelling of 40721414104 in words is "forty billion, seven hundred twenty-one million, four hundred fourteen thousand, one hundred four".