30000377440 has 96 divisors (see below), whose sum is σ = 78085153440. Its totient is φ = 10801152000.

The previous prime is 30000377401. The next prime is 30000377447. The reversal of 30000377440 is 4477300003.

It is a junction number, because it is equal to n+sod(n) for n = 30000377399 and 30000377408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30000377447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93376 + ... + 262144.

It is an arithmetic number, because the mean of its divisors is an integer number (813387015).

Almost surely, 2^30000377440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30000377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39042576720).

30000377440 is an abundant number, since it is smaller than the sum of its proper divisors (48084776000).

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

30000377440 is a wasteful number, since it uses less digits than its factorization.

30000377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168896 (or 168888 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

Adding to 30000377440 its reverse (4477300003), we get a palindrome (34477677443).

The spelling of 30000377440 in words is "thirty billion, three hundred seventy-seven thousand, four hundred forty".