123416061229440 has 512 divisors, whose sum is σ = 499948263936000. Its totient is φ = 28186398351360.

The previous prime is 123416061229393. The next prime is 123416061229453. The reversal of 123416061229440 is 44922160614321.

123416061229440 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 1 + 6 + 0 + 612 + 29 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148244745 + ... + 149074935.

It is an arithmetic number, because the mean of its divisors is an integer number (976461453000).

Almost surely, 2^{123416061229440} is an apocalyptic number.

123416061229440 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 123416061229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249974131968000).

123416061229440 is an abundant number, since it is smaller than the sum of its proper divisors (376532202706560).

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

123416061229440 is a wasteful number, since it uses less digits than its factorization.

123416061229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831455 (or 831437 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 123416061229440 in words is "one hundred twenty-three trillion, four hundred sixteen billion, sixty-one million, two hundred twenty-nine thousand, four hundred forty".