30423026442240 has 1568 divisors, whose sum is σ = 117636172617456. Its totient is φ = 7521813135360.

The previous prime is 30423026442233. The next prime is 30423026442271. The reversal of 30423026442240 is 4224462032403.

30423026442240 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 3 + 0 + 2 + 644 + 2 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14995853512704 + 15427172929536 = 3872448^2 + 3927744^2 .

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 = 30423026442195 and 30423026442204.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37056061030 + ... + 37056061850.

Almost surely, 2^{30423026442240} is an apocalyptic number.

30423026442240 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 30423026442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58818086308728).

30423026442240 is an abundant number, since it is smaller than the sum of its proper divisors (87213146175216).

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

30423026442240 is an frugal number, since it uses more digits than its factorization.

30423026442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 30423026442240 its reverse (4224462032403), we get a palindrome (34647488474643).

The spelling of 30423026442240 in words is "thirty trillion, four hundred twenty-three billion, twenty-six million, four hundred forty-two thousand, two hundred forty".