40982400 has 144 divisors (see below), whose sum is σ = 146337360. Its totient is φ = 10920960.

The previous prime is 40982399. The next prime is 40982401. The reversal of 40982400 is 428904.

It is an interprime number because it is at equal distance from previous prime (40982399) and next prime (40982401).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40982401) 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 17 ways as a sum of consecutive naturals, for example, 28089 + ... + 29511.

Almost surely, 2^40982400 is an apocalyptic number.

40982400 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 40982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73168680).

40982400 is an abundant number, since it is smaller than the sum of its proper divisors (105354960).

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

40982400 is a wasteful number, since it uses less digits than its factorization.

40982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40982400 is about 6401.7497608076. The cubic root of 40982400 is about 344.7723766323.

The spelling of 40982400 in words is "forty million, nine hundred eighty-two thousand, four hundred".