124113433440 has 384 divisors, whose sum is σ = 408987895680. Its totient is φ = 31609847808.

The previous prime is 124113433439. The next prime is 124113433459. The reversal of 124113433440 is 44334311421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 124113433398 and 124113433407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368288952 + ... + 368289288.

It is an arithmetic number, because the mean of its divisors is an integer number (1065072645).

Almost surely, 2^124113433440 is an apocalyptic number.

124113433440 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 124113433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204493947840).

124113433440 is an abundant number, since it is smaller than the sum of its proper divisors (284874462240).

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

124113433440 is a wasteful number, since it uses less digits than its factorization.

124113433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 124113433440 its reverse (44334311421), we get a palindrome (168447744861).

The spelling of 124113433440 in words is "one hundred twenty-four billion, one hundred thirteen million, four hundred thirty-three thousand, four hundred forty".