40100320 has 72 divisors (see below), whose sum is σ = 102654216. Its totient is φ = 14796288.

The previous prime is 40100299. The next prime is 40100323. The reversal of 40100320 is 2300104.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 40100297 and 40100306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40100323) 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, 26299 + ... + 27781.

It is an arithmetic number, because the mean of its divisors is an integer number (1425753).

Almost surely, 2^40100320 is an apocalyptic number.

40100320 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 40100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51327108).

40100320 is an abundant number, since it is smaller than the sum of its proper divisors (62553896).

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

40100320 is a wasteful number, since it uses less digits than its factorization.

40100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 40100320 is about 6332.4813462023. The cubic root of 40100320 is about 342.2808586270.

Adding to 40100320 its reverse (2300104), we get a palindrome (42400424).

The spelling of 40100320 in words is "forty million, one hundred thousand, three hundred twenty".