30138476400 has 360 divisors, whose sum is σ = 112664872320. Its totient is φ = 7436136960.

The previous prime is 30138476327. The next prime is 30138476411. The reversal of 30138476400 is 467483103.

30138476400 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 8 + 4 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2936077 + ... + 2946323.

Almost surely, 2^30138476400 is an apocalyptic number.

30138476400 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 30138476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56332436160).

30138476400 is an abundant number, since it is smaller than the sum of its proper divisors (82526395920).

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

30138476400 is a wasteful number, since it uses less digits than its factorization.

30138476400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10333 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 30138476400 in words is "thirty billion, one hundred thirty-eight million, four hundred seventy-six thousand, four hundred".