20130233432400 has 720 divisors, whose sum is σ = 89162890404224. Its totient is φ = 4247256176640.

The previous prime is 20130233432371. The next prime is 20130233432401. The reversal of 20130233432400 is 423433203102.

20130233432400 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 0 + 2 + 334 + 324 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130233432401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7707282 + ... + 9983118.

Almost surely, 2^{20130233432400} is an apocalyptic number.

20130233432400 is a gapful number since it is divisible by the number (20) 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 20130233432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44581445202112).

20130233432400 is an abundant number, since it is smaller than the sum of its proper divisors (69032656971824).

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

20130233432400 is a wasteful number, since it uses less digits than its factorization.

20130233432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275890 (or 2275867 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20130233432400 its reverse (423433203102), we get a palindrome (20553666635502).

The spelling of 20130233432400 in words is "twenty trillion, one hundred thirty billion, two hundred thirty-three million, four hundred thirty-two thousand, four hundred".