40720128 has 72 divisors (see below), whose sum is σ = 111381648. Its totient is φ = 13197312.

The previous prime is 40720087. The next prime is 40720129. The reversal of 40720128 is 82102704.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40720098 and 40720107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40720129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27700 + ... + 29132.

Almost surely, 2^40720128 is an apocalyptic number.

40720128 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 40720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55690824).

40720128 is an abundant number, since it is smaller than the sum of its proper divisors (70661520).

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

40720128 is a wasteful number, since it uses less digits than its factorization.

40720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 40720128 is about 6381.2324828359. The cubic root of 40720128 is about 344.0353307862.

The spelling of 40720128 in words is "forty million, seven hundred twenty thousand, one hundred twenty-eight".