40321431200 has 72 divisors (see below), whose sum is σ = 98550442368. Its totient is φ = 16109607680.

The previous prime is 40321431187. The next prime is 40321431203. The reversal of 40321431200 is 213412304.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40321431203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661199 + ... + 719601.

It is an arithmetic number, because the mean of its divisors is an integer number (1368756144).

Almost surely, 2^40321431200 is an apocalyptic number.

40321431200 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 40321431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49275221184).

40321431200 is an abundant number, since it is smaller than the sum of its proper divisors (58229011168).

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

40321431200 is a wasteful number, since it uses less digits than its factorization.

40321431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59286 (or 59273 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40321431200 its reverse (213412304), we get a palindrome (40534843504).

The spelling of 40321431200 in words is "forty billion, three hundred twenty-one million, four hundred thirty-one thousand, two hundred".