40552400 has 90 divisors (see below), whose sum is σ = 113388390. Its totient is φ = 13896960.

The previous prime is 40552357. The next prime is 40552417. The reversal of 40552400 is 425504.

It is a happy number.

40552400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 153664 + 40398736 = 392^2 + 6356^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18566 + ... + 20634.

It is an arithmetic number, because the mean of its divisors is an integer number (1259871).

Almost surely, 2^40552400 is an apocalyptic number.

40552400 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 40552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56694195).

40552400 is an abundant number, since it is smaller than the sum of its proper divisors (72835990).

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

40552400 is a wasteful number, since it uses less digits than its factorization.

40552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 40552400 is about 6368.0766327047. The cubic root of 40552400 is about 343.5623151751.

Adding to 40552400 its reverse (425504), we get a palindrome (40977904).

The spelling of 40552400 in words is "forty million, five hundred fifty-two thousand, four hundred".