40002400 has 72 divisors (see below), whose sum is σ = 100868544. Its totient is φ = 15475200.

The previous prime is 40002379. The next prime is 40002421. The reversal of 40002400 is 420004.

It is an interprime number because it is at equal distance from previous prime (40002379) and next prime (40002421).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23994 + ... + 25606.

It is an arithmetic number, because the mean of its divisors is an integer number (1400952).

Almost surely, 2^40002400 is an apocalyptic number.

40002400 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 40002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50434272).

40002400 is an abundant number, since it is smaller than the sum of its proper divisors (60866144).

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

40002400 is a wasteful number, since it uses less digits than its factorization.

40002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 40002400 is about 6324.7450541504. The cubic root of 40002400 is about 342.0020291023.

Adding to 40002400 its reverse (420004), we get a palindrome (40422404).

It can be divided in two parts, 4000 and 2400, that added together give a square (6400 = 80²).

The spelling of 40002400 in words is "forty million, two thousand, four hundred".