40020960 has 192 divisors, whose sum is σ = 147958272. Its totient is φ = 8902656.

The previous prime is 40020949. The next prime is 40020971. The reversal of 40020960 is 6902004.

It is an interprime number because it is at equal distance from previous prime (40020949) and next prime (40020971).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144342 + ... + 144618.

It is an arithmetic number, because the mean of its divisors is an integer number (770616).

Almost surely, 2^40020960 is an apocalyptic number.

40020960 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 40020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73979136).

40020960 is an abundant number, since it is smaller than the sum of its proper divisors (107937312).

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

40020960 is a wasteful number, since it uses less digits than its factorization.

40020960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 40020960 is about 6326.2121368162. The cubic root of 40020960 is about 342.0549140644.

Adding to 40020960 its reverse (6902004), we get a palindrome (46922964).

The spelling of 40020960 in words is "forty million, twenty thousand, nine hundred sixty".