20110310400 has 264 divisors, whose sum is σ = 66733411824. Its totient is φ = 5341184000.

The previous prime is 20110310399. The next prime is 20110310417. The reversal of 20110310400 is 401301102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30796474 + ... + 30797126.

Almost surely, 2^20110310400 is an apocalyptic number.

20110310400 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 20110310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33366705912).

20110310400 is an abundant number, since it is smaller than the sum of its proper divisors (46623101424).

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

20110310400 is a wasteful number, since it uses less digits than its factorization.

20110310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20110310400 its reverse (401301102), we get a palindrome (20511611502).

The spelling of 20110310400 in words is "twenty billion, one hundred ten million, three hundred ten thousand, four hundred".