30144122173440 has 864 divisors, whose sum is σ = 114975411314400. Its totient is φ = 7298747596800.

The previous prime is 30144122173433. The next prime is 30144122173447. The reversal of 30144122173440 is 4437122144103.

30144122173440 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 41 + 2 + 2 + 173 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (30144122173433) and next prime (30144122173447).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30144122173395 and 30144122173404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144122173447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16849704066 + ... + 16849705854.

It is an arithmetic number, because the mean of its divisors is an integer number (133073392725).

Almost surely, 2^{30144122173440} is an apocalyptic number.

30144122173440 is a gapful number since it is divisible by the number (30) 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 30144122173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57487705657200).

30144122173440 is an abundant number, since it is smaller than the sum of its proper divisors (84831289140960).

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

30144122173440 is a wasteful number, since it uses less digits than its factorization.

30144122173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 30144122173440 in words is "thirty trillion, one hundred forty-four billion, one hundred twenty-two million, one hundred seventy-three thousand, four hundred forty".