1040100224 has 64 divisors (see below), whose sum is σ = 2142685440. Its totient is φ = 502611456.

The previous prime is 1040100221. The next prime is 1040100233. The reversal of 1040100224 is 4220010401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1040100199 and 1040100208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040100221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498287 + ... + 500369.

It is an arithmetic number, because the mean of its divisors is an integer number (33479460).

Almost surely, 2^1040100224 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 1040100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071342720).

1040100224 is an abundant number, since it is smaller than the sum of its proper divisors (1102585216).

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

1040100224 is an equidigital number, since it uses as much as digits as its factorization.

1040100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1040100224 is about 32250.5848629137. The cubic root of 1040100224 is about 1013.1919485722.

Adding to 1040100224 its reverse (4220010401), we get a palindrome (5260110625).

The spelling of 1040100224 in words is "one billion, forty million, one hundred thousand, two hundred twenty-four".