30400135512032 has 96 divisors (see below), whose sum is σ = 70681736208384. Its totient is φ = 12688519564800.

The previous prime is 30400135511981. The next prime is 30400135512041. The reversal of 30400135512032 is 23021553100403.

It is a happy number.

It is a super-2 number, since 2×30400135512032² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30400135511986 and 30400135512004.

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, 16517048 + ... + 18265079.

It is an arithmetic number, because the mean of its divisors is an integer number (736268085504).

Almost surely, 2^{30400135512032} is an apocalyptic number.

30400135512032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30400135512032 is an abundant number, since it is smaller than the sum of its proper divisors (40281600696352).

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

30400135512032 is a wasteful number, since it uses less digits than its factorization.

30400135512032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34782352 (or 34782344 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 30400135512032 its reverse (23021553100403), we get a palindrome (53421688612435).

The spelling of 30400135512032 in words is "thirty trillion, four hundred billion, one hundred thirty-five million, five hundred twelve thousand, thirty-two".