20401202400 has 216 divisors, whose sum is σ = 69422978520. Its totient is φ = 5203461120.

The previous prime is 20401202399. The next prime is 20401202407. The reversal of 20401202400 is 420210402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20401202400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20401202407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1261566 + ... + 1277634.

Almost surely, 2^20401202400 is an apocalyptic number.

20401202400 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 20401202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34711489260).

20401202400 is an abundant number, since it is smaller than the sum of its proper divisors (49021776120).

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

20401202400 is a wasteful number, since it uses less digits than its factorization.

20401202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16138 (or 16102 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20401202400 its reverse (420210402), we get a palindrome (20821412802).

The spelling of 20401202400 in words is "twenty billion, four hundred one million, two hundred two thousand, four hundred".