30401010034400 has 72 divisors (see below), whose sum is σ = 74376761395104. Its totient is φ = 12134139494400.

The previous prime is 30401010034397. The next prime is 30401010034463. The reversal of 30401010034400 is 443001010403.

It is a happy number.

It is a super-2 number, since 2×30401010034400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40667681 + ... + 41408480.

It is an arithmetic number, because the mean of its divisors is an integer number (1033010574932).

Almost surely, 2^{30401010034400} is an apocalyptic number.

It is an amenable number.

30401010034400 is an abundant number, since it is smaller than the sum of its proper divisors (43975751360704).

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

30401010034400 is a wasteful number, since it uses less digits than its factorization.

30401010034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82076644 (or 82076631 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30401010034400 its reverse (443001010403), we get a palindrome (30844011044803).

The spelling of 30401010034400 in words is "thirty trillion, four hundred one billion, ten million, thirty-four thousand, four hundred".