30014101400 has 96 divisors (see below), whose sum is σ = 71294722560. Its totient is φ = 11746775040.

The previous prime is 30014101391. The next prime is 30014101457. The reversal of 30014101400 is 410141003.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 4056104 + ... + 4063496.

It is an arithmetic number, because the mean of its divisors is an integer number (742653360).

Almost surely, 2^30014101400 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 30014101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35647361280).

30014101400 is an abundant number, since it is smaller than the sum of its proper divisors (41280621160).

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

30014101400 is a wasteful number, since it uses less digits than its factorization.

30014101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 30014101400 its reverse (410141003), we get a palindrome (30424242403).

The spelling of 30014101400 in words is "thirty billion, fourteen million, one hundred one thousand, four hundred".