124434119040 has 1024 divisors, whose sum is σ = 537698304000. Its totient is φ = 23688806400.

The previous prime is 124434119023. The next prime is 124434119087. The reversal of 124434119040 is 40911434421.

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 = 124434118992 and 124434119010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87077046 + ... + 87078474.

It is an arithmetic number, because the mean of its divisors is an integer number (525096000).

Almost surely, 2^124434119040 is an apocalyptic number.

124434119040 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 124434119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268849152000).

124434119040 is an abundant number, since it is smaller than the sum of its proper divisors (413264184960).

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

124434119040 is a wasteful number, since it uses less digits than its factorization.

124434119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 124434119040 in words is "one hundred twenty-four billion, four hundred thirty-four million, one hundred nineteen thousand, forty".