123400413440 has 72 divisors (see below), whose sum is σ = 297216163608. Its totient is φ = 49087365120.

The previous prime is 123400413403. The next prime is 123400413449. The reversal of 123400413440 is 44314004321.

It can be written as a sum of positive squares in 4 ways, for example, as 10332315904 + 113068097536 = 101648^2 + 336256^2 .

It is a super-3 number, since 3×123400413440³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (123400413449) 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 7 ways as a sum of consecutive naturals, for example, 34637 + ... + 497996.

Almost surely, 2^123400413440 is an apocalyptic number.

123400413440 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 123400413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148608081804).

123400413440 is an abundant number, since it is smaller than the sum of its proper divisors (173815750168).

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

123400413440 is an equidigital number, since it uses as much as digits as its factorization.

123400413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532835 (or 532821 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 123400413440 its reverse (44314004321), we get a palindrome (167714417761).

The spelling of 123400413440 in words is "one hundred twenty-three billion, four hundred million, four hundred thirteen thousand, four hundred forty".