40361053200 has 720 divisors, whose sum is σ = 154984544640. Its totient is φ = 8926494720.

The previous prime is 40361053189. The next prime is 40361053207. The reversal of 40361053200 is 235016304.

It is a happy number.

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 (40361053207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79294546 + ... + 79295054.

It is an arithmetic number, because the mean of its divisors is an integer number (215256312).

Almost surely, 2^40361053200 is an apocalyptic number.

40361053200 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 40361053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77492272320).

40361053200 is an abundant number, since it is smaller than the sum of its proper divisors (114623491440).

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

40361053200 is a wasteful number, since it uses less digits than its factorization.

40361053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 40361053200 its reverse (235016304), we get a palindrome (40596069504).

The spelling of 40361053200 in words is "forty billion, three hundred sixty-one million, fifty-three thousand, two hundred".