124214213431440 has 480 divisors, whose sum is σ = 475654784716800. Its totient is φ = 28755184972800.

The previous prime is 124214213431409. The next prime is 124214213431547. The reversal of 124214213431440 is 44134312412421.

124214213431440 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 1 + 4 + 213 + 431 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 124214213431395 and 124214213431404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108544645 + ... + 109683035.

It is an arithmetic number, because the mean of its divisors is an integer number (990947468160).

Almost surely, 2^{124214213431440} is an apocalyptic number.

124214213431440 is a gapful number since it is divisible by the number (10) 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 124214213431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237827392358400).

124214213431440 is an abundant number, since it is smaller than the sum of its proper divisors (351440571285360).

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

124214213431440 is a wasteful number, since it uses less digits than its factorization.

124214213431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139043 (or 1139034 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 124214213431440 its reverse (44134312412421), we get a palindrome (168348525843861).

The spelling of 124214213431440 in words is "one hundred twenty-four trillion, two hundred fourteen billion, two hundred thirteen million, four hundred thirty-one thousand, four hundred forty".