1414114101004 has 192 divisors, whose sum is σ = 2935531694592. Its totient is φ = 588923596800.

The previous prime is 1414114100981. The next prime is 1414114101007. The reversal of 1414114101004 is 4001014114141.

It is a happy number.

It is a super-2 number, since 2×1414114101004² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1414114101007) 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, 1829383962 + ... + 1829384734.

It is an arithmetic number, because the mean of its divisors is an integer number (15289227576).

Almost surely, 2^{1414114101004} is an apocalyptic number.

It is an amenable number.

1414114101004 is an abundant number, since it is smaller than the sum of its proper divisors (1521417593588).

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

1414114101004 is a wasteful number, since it uses less digits than its factorization.

1414114101004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 1414114101004 its reverse (4001014114141), we get a palindrome (5415128215145).

The spelling of 1414114101004 in words is "one trillion, four hundred fourteen billion, one hundred fourteen million, one hundred one thousand, four".