40321243200 has 336 divisors, whose sum is σ = 153450527744. Its totient is φ = 9078220800.

The previous prime is 40321243163. The next prime is 40321243219. The reversal of 40321243200 is 234212304.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2242245 + ... + 2260155.

Almost surely, 2^40321243200 is an apocalyptic number.

40321243200 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 40321243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76725263872).

40321243200 is an abundant number, since it is smaller than the sum of its proper divisors (113129284544).

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

40321243200 is a wasteful number, since it uses less digits than its factorization.

40321243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18010 (or 17995 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 40321243200 its reverse (234212304), we get a palindrome (40555455504).

The spelling of 40321243200 in words is "forty billion, three hundred twenty-one million, two hundred forty-three thousand, two hundred".