124114414401 has 28 divisors (see below), whose sum is σ = 194177238528. Its totient is φ = 79145412984.

The previous prime is 124114414373. The next prime is 124114414409. The reversal of 124114414401 is 104414411421.

124114414401 is a `hidden beast` number, since 1 + 241 + 1 + 4 + 4 + 14 + 401 = 666.

It is not a de Polignac number, because 124114414401 - 2⁹ = 124114413889 is a prime.

It is a super-4 number, since 4×124114414401⁴ (a number of 45 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (124114414409) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3684385 + ... + 3717918.

It is an arithmetic number, because the mean of its divisors is an integer number (6934901376).

Almost surely, 2^124114414401 is an apocalyptic number.

It is an amenable number.

124114414401 is a deficient number, since it is larger than the sum of its proper divisors (70062824127).

124114414401 is an frugal number, since it uses more digits than its factorization.

124114414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402344 (or 7402329 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 124114414401 its reverse (104414411421), we get a palindrome (228528825822).

The spelling of 124114414401 in words is "one hundred twenty-four billion, one hundred fourteen million, four hundred fourteen thousand, four hundred one".