30401411040 has 1728 divisors, whose sum is σ = 149074877952. Its totient is φ = 5535129600.

The previous prime is 30401411023. The next prime is 30401411099. The reversal of 30401411040 is 4011410403.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 232071775 + ... + 232071905.

It is an arithmetic number, because the mean of its divisors is an integer number (86270184).

Almost surely, 2^30401411040 is an apocalyptic number.

30401411040 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 30401411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74537438976).

30401411040 is an abundant number, since it is smaller than the sum of its proper divisors (118673466912).

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

30401411040 is a wasteful number, since it uses less digits than its factorization.

30401411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30401411040 its reverse (4011410403), we get a palindrome (34412821443).

The spelling of 30401411040 in words is "thirty billion, four hundred one million, four hundred eleven thousand, forty".