20401012224 has 240 divisors, whose sum is σ = 61088371344. Its totient is φ = 6549504000.

The previous prime is 20401012211. The next prime is 20401012267. The reversal of 20401012224 is 42221010402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20401012197 and 20401012206.

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, 15680374 + ... + 15681674.

Almost surely, 2^20401012224 is an apocalyptic number.

20401012224 is a gapful number since it is divisible by the number (24) 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 20401012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30544185672).

20401012224 is an abundant number, since it is smaller than the sum of its proper divisors (40687359120).

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

20401012224 is a wasteful number, since it uses less digits than its factorization.

20401012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20401012224 its reverse (42221010402), we get a palindrome (62622022626).

The spelling of 20401012224 in words is "twenty billion, four hundred one million, twelve thousand, two hundred twenty-four".