11414040100 has 18 divisors (see below), whose sum is σ = 24768467234. Its totient is φ = 4565616000.

The previous prime is 11414040097. The next prime is 11414040103. The reversal of 11414040100 is 104041411.

It is an interprime number because it is at equal distance from previous prime (11414040097) and next prime (11414040103).

It can be written as a sum of positive squares in 3 ways, for example, as 2401196004 + 9012844096 = 49002^2 + 94936^2 .

It is a super-2 number, since 2×11414040100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11414040103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57070101 + ... + 57070300.

Almost surely, 2^11414040100 is an apocalyptic number.

11414040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414040100 is an abundant number, since it is smaller than the sum of its proper divisors (13354427134).

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

11414040100 is a wasteful number, since it uses less digits than its factorization.

11414040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114140415 (or 114140408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11414040100 its reverse (104041411), we get a palindrome (11518081511).

The spelling of 11414040100 in words is "eleven billion, four hundred fourteen million, forty thousand, one hundred".