212401220400040 has 64 divisors (see below), whose sum is σ = 546176393400960. Its totient is φ = 72823032011520.

The previous prime is 212401220400023. The next prime is 212401220400079. The reversal of 212401220400040 is 40004022104212.

It is a super-2 number, since 2×212401220400040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212401220399984 and 212401220400020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95857699 + ... + 98048461.

It is an arithmetic number, because the mean of its divisors is an integer number (8534006146890).

Almost surely, 2^{212401220400040} is an apocalyptic number.

212401220400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212401220400040 is an abundant number, since it is smaller than the sum of its proper divisors (333775173000920).

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

212401220400040 is a wasteful number, since it uses less digits than its factorization.

212401220400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537042 (or 2537038 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 212401220400040 its reverse (40004022104212), we get a palindrome (252405242504252).

The spelling of 212401220400040 in words is "two hundred twelve trillion, four hundred one billion, two hundred twenty million, four hundred thousand, forty".