1011414404 has 192 divisors, whose sum is σ = 2498840064. Its totient is φ = 345600000.

The previous prime is 1011414361. The next prime is 1011414409. The reversal of 1011414404 is 4044141101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1011414409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10013954 + ... + 10014054.

It is an arithmetic number, because the mean of its divisors is an integer number (13014792).

Almost surely, 2^1011414404 is an apocalyptic number.

1011414404 is a gapful number since it is divisible by the number (14) 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 1011414404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249420032).

1011414404 is an abundant number, since it is smaller than the sum of its proper divisors (1487425660).

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

1011414404 is a wasteful number, since it uses less digits than its factorization.

1011414404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1011414404 is about 31802.7420830343. The cubic root of 1011414404 is about 1003.7904159278.

Adding to 1011414404 its reverse (4044141101), we get a palindrome (5055555505).

The spelling of 1011414404 in words is "one billion, eleven million, four hundred fourteen thousand, four hundred four".