40413253200 has 120 divisors (see below), whose sum is σ = 129669313728. Its totient is φ = 10759203840.

The previous prime is 40413253157. The next prime is 40413253207. The reversal of 40413253200 is 235231404.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×40413253200⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40413253207) 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, 713109 + ... + 767691.

Almost surely, 2^40413253200 is an apocalyptic number.

40413253200 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 40413253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64834656864).

40413253200 is an abundant number, since it is smaller than the sum of its proper divisors (89256060528).

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

40413253200 is a wasteful number, since it uses less digits than its factorization.

40413253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55221 (or 55210 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 40413253200 its reverse (235231404), we get a palindrome (40648484604).

The spelling of 40413253200 in words is "forty billion, four hundred thirteen million, two hundred fifty-three thousand, two hundred".