20381900400 has 600 divisors, whose sum is σ = 77945479920. Its totient is φ = 5086126080.

The previous prime is 20381900377. The next prime is 20381900447. The reversal of 20381900400 is 400918302.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 69562654 + ... + 69562946.

Almost surely, 2^20381900400 is an apocalyptic number.

20381900400 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 20381900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38972739960).

20381900400 is an abundant number, since it is smaller than the sum of its proper divisors (57563579520).

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

20381900400 is a wasteful number, since it uses less digits than its factorization.

20381900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20381900400 in words is "twenty billion, three hundred eighty-one million, nine hundred thousand, four hundred".