40722013728 has 486 divisors, whose sum is σ = 135954076167. Its totient is φ = 11552344320.

The previous prime is 40722013711. The next prime is 40722013733. The reversal of 40722013728 is 82731022704.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40722013728 is a `hidden beast` number, since 407 + 220 + 1 + 3 + 7 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20361006864 + 20361006864 = 142692^2 + 142692^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=142692.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40722013692 and 40722013701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 866425801 + ... + 866425847.

Almost surely, 2^40722013728 is an apocalyptic number.

40722013728 is a gapful number since it is divisible by the number (48) 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 40722013728

40722013728 is an abundant number, since it is smaller than the sum of its proper divisors (95232062439).

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

40722013728 is a wasteful number, since it uses less digits than its factorization.

40722013728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 40722013728 in words is "forty billion, seven hundred twenty-two million, thirteen thousand, seven hundred twenty-eight".