40840243200 has 576 divisors, whose sum is σ = 155015078400. Its totient is φ = 10528358400.

The previous prime is 40840243189. The next prime is 40840243207. The reversal of 40840243200 is 234204804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40840243207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42853924 + ... + 42854876.

It is an arithmetic number, because the mean of its divisors is an integer number (269123400).

Almost surely, 2^40840243200 is an apocalyptic number.

40840243200 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 40840243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77507539200).

40840243200 is an abundant number, since it is smaller than the sum of its proper divisors (114174835200).

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

40840243200 is a wasteful number, since it uses less digits than its factorization.

40840243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 40840243200 in words is "forty billion, eight hundred forty million, two hundred forty-three thousand, two hundred".