10406225211420 has 96 divisors (see below), whose sum is σ = 29560798713600. Its totient is φ = 2734875753984.

The previous prime is 10406225211373. The next prime is 10406225211457. The reversal of 10406225211420 is 2411252260401.

It is a super-3 number, since 3×10406225211420³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1534450 + ... + 4813209.

It is an arithmetic number, because the mean of its divisors is an integer number (307924986600).

Almost surely, 2^{10406225211420} is an apocalyptic number.

10406225211420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406225211420 is an abundant number, since it is smaller than the sum of its proper divisors (19154573502180).

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

10406225211420 is a wasteful number, since it uses less digits than its factorization.

10406225211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348067 (or 6348065 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 10406225211420 its reverse (2411252260401), we get a palindrome (12817477471821).

The spelling of 10406225211420 in words is "ten trillion, four hundred six billion, two hundred twenty-five million, two hundred eleven thousand, four hundred twenty".