40004025600 has 432 divisors, whose sum is σ = 164604464640. Its totient is φ = 8312217600.

The previous prime is 40004025587. The next prime is 40004025613. The reversal of 40004025600 is 652040004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40004025587) and next prime (40004025613).

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 47 ways as a sum of consecutive naturals, for example, 1464871 + ... + 1491929.

Almost surely, 2^40004025600 is an apocalyptic number.

40004025600 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 40004025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82302232320).

40004025600 is an abundant number, since it is smaller than the sum of its proper divisors (124600439040).

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

40004025600 is a wasteful number, since it uses less digits than its factorization.

40004025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27106 (or 27087 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 40004025600 its reverse (652040004), we get a palindrome (40656065604).

The spelling of 40004025600 in words is "forty billion, four million, twenty-five thousand, six hundred".