20380361400 has 672 divisors, whose sum is σ = 85547798400. Its totient is φ = 4408992000.

The previous prime is 20380361389. The next prime is 20380361471. The reversal of 20380361400 is 416308302.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 19390875 + ... + 19391925.

Almost surely, 2^20380361400 is an apocalyptic number.

20380361400 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 20380361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42773899200).

20380361400 is an abundant number, since it is smaller than the sum of its proper divisors (65167437000).

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

20380361400 is a wasteful number, since it uses less digits than its factorization.

20380361400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20380361400 its reverse (416308302), we get a palindrome (20796669702).

The spelling of 20380361400 in words is "twenty billion, three hundred eighty million, three hundred sixty-one thousand, four hundred".