30403400100000 has 576 divisors, whose sum is σ = 105868992200832. Its totient is φ = 7612866560000.

The previous prime is 30403400099981. The next prime is 30403400100019. The reversal of 30403400100000 is 100430403.

It is an interprime number because it is at equal distance from previous prime (30403400099981) and next prime (30403400100019).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2259293272 + ... + 2259306728.

It is an arithmetic number, because the mean of its divisors is an integer number (183800333682).

Almost surely, 2^{30403400100000} is an apocalyptic number.

30403400100000 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 30403400100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52934496100416).

30403400100000 is an abundant number, since it is smaller than the sum of its proper divisors (75465592100832).

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

30403400100000 is a wasteful number, since it uses less digits than its factorization.

30403400100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13955 (or 13927 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30403400100000 its reverse (100430403), we get a palindrome (30403500530403).

The spelling of 30403400100000 in words is "thirty trillion, four hundred three billion, four hundred million, one hundred thousand".