30400415040 has 112 divisors (see below), whose sum is σ = 96612651072. Its totient is φ = 8099106816.

The previous prime is 30400415021. The next prime is 30400415051. The reversal of 30400415040 is 4051400403.

It is a junction number, because it is equal to n+sod(n) for n = 30400414998 and 30400415016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038687 + ... + 1067553.

It is an arithmetic number, because the mean of its divisors is an integer number (862612956).

Almost surely, 2^30400415040 is an apocalyptic number.

30400415040 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 30400415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48306325536).

30400415040 is an abundant number, since it is smaller than the sum of its proper divisors (66212236032).

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

30400415040 is a wasteful number, since it uses less digits than its factorization.

30400415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29984 (or 29974 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 30400415040 its reverse (4051400403), we get a palindrome (34451815443).

The spelling of 30400415040 in words is "thirty billion, four hundred million, four hundred fifteen thousand, forty".