124104449040 has 320 divisors, whose sum is σ = 467572573440. Its totient is φ = 26813767680.

The previous prime is 124104449017. The next prime is 124104449041. The reversal of 124104449040 is 40944401421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 124104448992 and 124104449010.

It is not an unprimeable number, because it can be changed into a prime (124104449041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 932934 + ... + 1057626.

It is an arithmetic number, because the mean of its divisors is an integer number (1461164292).

Almost surely, 2^124104449040 is an apocalyptic number.

124104449040 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 124104449040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233786286720).

124104449040 is an abundant number, since it is smaller than the sum of its proper divisors (343468124400).

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

124104449040 is a wasteful number, since it uses less digits than its factorization.

124104449040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124762 (or 124756 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 124104449040 in words is "one hundred twenty-four billion, one hundred four million, four hundred forty-nine thousand, forty".