20006014400400 has 240 divisors, whose sum is σ = 73925565318144. Its totient is φ = 4530066608640.

The previous prime is 20006014400369. The next prime is 20006014400401. The reversal of 20006014400400 is 400441060002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20006014400400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20006014400401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10230492 + ... + 12028091.

Almost surely, 2^{20006014400400} is an apocalyptic number.

20006014400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20006014400400 is an abundant number, since it is smaller than the sum of its proper divisors (53919550917744).

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

20006014400400 is a wasteful number, since it uses less digits than its factorization.

20006014400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22258718 (or 22258707 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20006014400400 its reverse (400441060002), we get a palindrome (20406455460402).

The spelling of 20006014400400 in words is "twenty trillion, six billion, fourteen million, four hundred thousand, four hundred".