30520418423040 has 1152 divisors, whose sum is σ = 133687505387520. Its totient is φ = 6420685750272.

The previous prime is 30520418423029. The next prime is 30520418423051. The reversal of 30520418423040 is 4032481402503.

30520418423040 is a `hidden beast` number, since 3 + 0 + 5 + 2 + 0 + 418 + 4 + 230 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30520418423029) and next prime (30520418423051).

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 30520418422986 and 30520418423004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1091287137 + ... + 1091315103.

It is an arithmetic number, because the mean of its divisors is an integer number (116048181760).

Almost surely, 2^{30520418423040} is an apocalyptic number.

30520418423040 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 30520418423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66843752693760).

30520418423040 is an abundant number, since it is smaller than the sum of its proper divisors (103167086964480).

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

30520418423040 is a wasteful number, since it uses less digits than its factorization.

30520418423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28364 (or 28344 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 30520418423040 its reverse (4032481402503), we get a palindrome (34552899825543).

The spelling of 30520418423040 in words is "thirty trillion, five hundred twenty billion, four hundred eighteen million, four hundred twenty-three thousand, forty".