40971120 has 80 divisors (see below), whose sum is σ = 129447072. Its totient is φ = 10716160.

The previous prime is 40971109. The next prime is 40971127. The reversal of 40971120 is 2117904.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40971127) 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, 11110 + ... + 14330.

Almost surely, 2^40971120 is an apocalyptic number.

40971120 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 40971120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64723536).

40971120 is an abundant number, since it is smaller than the sum of its proper divisors (88475952).

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

40971120 is a wasteful number, since it uses less digits than its factorization.

40971120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 40971120 is about 6400.8686910450. The cubic root of 40971120 is about 344.7407420015.

The spelling of 40971120 in words is "forty million, nine hundred seventy-one thousand, one hundred twenty".