40538880 has 360 divisors, whose sum is σ = 160265952. Its totient is φ = 9732096.

The previous prime is 40538833. The next prime is 40538881. The reversal of 40538880 is 8883504.

40538880 is a `hidden beast` number, since 40 + 538 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (40538881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762549 + ... + 1762571.

Almost surely, 2^40538880 is an apocalyptic number.

40538880 is a gapful number since it is divisible by the number (40) 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 40538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80132976).

40538880 is an abundant number, since it is smaller than the sum of its proper divisors (119727072).

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

40538880 is a wasteful number, since it uses less digits than its factorization.

40538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 40538880 is about 6367.0149991970. The cubic root of 40538880 is about 343.5241301864.

The spelling of 40538880 in words is "forty million, five hundred thirty-eight thousand, eight hundred eighty".