40710400 has 54 divisors (see below), whose sum is σ = 100780442. Its totient is φ = 16281600.

The previous prime is 40710389. The next prime is 40710451. The reversal of 40710400 is 401704.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 565504 + 40144896 = 752^2 + 6336^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3220 + ... + 9580.

Almost surely, 2^40710400 is an apocalyptic number.

40710400 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 40710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50390221).

40710400 is an abundant number, since it is smaller than the sum of its proper divisors (60070042).

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

40710400 is an equidigital number, since it uses as much as digits as its factorization.

40710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 40710400 is about 6380.4702021089. The cubic root of 40710400 is about 344.0079320327.

The spelling of 40710400 in words is "forty million, seven hundred ten thousand, four hundred".