123920750305440 has 3840 divisors, whose sum is σ = 540828827320320. Its totient is φ = 26364248064000.

The previous prime is 123920750305427. The next prime is 123920750305441. The reversal of 123920750305440 is 44503057029321.

It is a happy number.

123920750305440 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 2 + 0 + 75 + 0 + 30 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (123920750305441) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 287519142025 + ... + 287519142455.

It is an arithmetic number, because the mean of its divisors is an integer number (140840840448).

Almost surely, 2^{123920750305440} is an apocalyptic number.

123920750305440 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 123920750305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270414413660160).

123920750305440 is an abundant number, since it is smaller than the sum of its proper divisors (416908077014880).

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

123920750305440 is a wasteful number, since it uses less digits than its factorization.

123920750305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 123920750305440 in words is "one hundred twenty-three trillion, nine hundred twenty billion, seven hundred fifty million, three hundred five thousand, four hundred forty".