40321262100 has 288 divisors, whose sum is σ = 137991168000. Its totient is φ = 9084835200.

The previous prime is 40321262081. The next prime is 40321262101. The reversal of 40321262100 is 126212304.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40321262101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7303141 + ... + 7308659.

It is an arithmetic number, because the mean of its divisors is an integer number (479136000).

Almost surely, 2^40321262100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40321262100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68995584000).

40321262100 is an abundant number, since it is smaller than the sum of its proper divisors (97669905900).

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

40321262100 is a wasteful number, since it uses less digits than its factorization.

40321262100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 40321262100 its reverse (126212304), we get a palindrome (40447474404).

The spelling of 40321262100 in words is "forty billion, three hundred twenty-one million, two hundred sixty-two thousand, one hundred".