30160240165440 has 672 divisors, whose sum is σ = 132344378090496. Its totient is φ = 6121315307520.

The previous prime is 30160240165439. The next prime is 30160240165477. The reversal of 30160240165440 is 4456104206103.

30160240165440 is a `hidden beast` number, since 3 + 0 + 1 + 60 + 2 + 40 + 16 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 30160240165395 and 30160240165404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7954239 + ... + 11117121.

Almost surely, 2^{30160240165440} is an apocalyptic number.

30160240165440 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 30160240165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66172189045248).

30160240165440 is an abundant number, since it is smaller than the sum of its proper divisors (102184137925056).

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

30160240165440 is a wasteful number, since it uses less digits than its factorization.

30160240165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162967 (or 3162954 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 30160240165440 in words is "thirty trillion, one hundred sixty billion, two hundred forty million, one hundred sixty-five thousand, four hundred forty".