123743079040 has 192 divisors, whose sum is σ = 344510546760. Its totient is φ = 42378190848.

The previous prime is 123743079023. The next prime is 123743079073. The reversal of 123743079040 is 40970347321.

It can be written as a sum of positive squares in 4 ways, for example, as 105240550464 + 18502528576 = 324408^2 + 136024^2 .

It is a super-2 number, since 2×123743079040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 123743078984 and 123743079002.

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 23 ways as a sum of consecutive naturals, for example, 38038054 + ... + 38041306.

Almost surely, 2^123743079040 is an apocalyptic number.

123743079040 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 123743079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172255273380).

123743079040 is an abundant number, since it is smaller than the sum of its proper divisors (220767467720).

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

123743079040 is a wasteful number, since it uses less digits than its factorization.

123743079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 123743079040 in words is "one hundred twenty-three billion, seven hundred forty-three million, seventy-nine thousand, forty".