40471680 has 128 divisors (see below), whose sum is σ = 130870080. Its totient is φ = 10637312.

The previous prime is 40471663. The next prime is 40471681. The reversal of 40471680 is 8617404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40471681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205342 + ... + 205538.

Almost surely, 2^40471680 is an apocalyptic number.

40471680 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 40471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65435040).

40471680 is an abundant number, since it is smaller than the sum of its proper divisors (90398400).

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

40471680 is a wasteful number, since it uses less digits than its factorization.

40471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 40471680 is about 6361.7356122366. The cubic root of 40471680 is about 343.3342088980.

The spelling of 40471680 in words is "forty million, four hundred seventy-one thousand, six hundred eighty".