40225332400 has 120 divisors (see below), whose sum is σ = 105529839408. Its totient is φ = 14613120000.

The previous prime is 40225332361. The next prime is 40225332401. The reversal of 40225332400 is 423352204.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (40225332401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5192530 + ... + 5200270.

Almost surely, 2^40225332400 is an apocalyptic number.

40225332400 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 40225332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52764919704).

40225332400 is an abundant number, since it is smaller than the sum of its proper divisors (65304507008).

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

40225332400 is a wasteful number, since it uses less digits than its factorization.

40225332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8951 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 40225332400 its reverse (423352204), we get a palindrome (40648684604).

The spelling of 40225332400 in words is "forty billion, two hundred twenty-five million, three hundred thirty-two thousand, four hundred".