20400213401001 has 24 divisors (see below), whose sum is σ = 34009973884224. Its totient is φ = 11541846333600.

The previous prime is 20400213400981. The next prime is 20400213401093. The reversal of 20400213401001 is 10010431200402.

20400213401001 is a `hidden beast` number, since 2 + 0 + 400 + 213 + 40 + 10 + 0 + 1 = 666.

It is not a de Polignac number, because 20400213401001 - 2²² = 20400209206697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20400213405001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603027851 + ... + 1603040576.

It is an arithmetic number, because the mean of its divisors is an integer number (1417082245176).

Almost surely, 2^{20400213401001} is an apocalyptic number.

20400213401001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20400213401001 is a deficient number, since it is larger than the sum of its proper divisors (13609760483223).

20400213401001 is a wasteful number, since it uses less digits than its factorization.

20400213401001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206068541 (or 3206068538 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20400213401001 its reverse (10010431200402), we get a palindrome (30410644601403).

The spelling of 20400213401001 in words is "twenty trillion, four hundred billion, two hundred thirteen million, four hundred one thousand, one".