10400216450 has 48 divisors (see below), whose sum is σ = 20919911040. Its totient is φ = 3823955520.

The previous prime is 10400216441. The next prime is 10400216471. The reversal of 10400216450 is 5461200401.

It is a super-3 number, since 3×10400216450³ (a number of 31 digits) contains 333 as substring.

10400216450 is a modest number, since divided by 216450 gives 10400 as remainder.

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, 121877 + ... + 188823.

It is an arithmetic number, because the mean of its divisors is an integer number (435831480).

Almost surely, 2^10400216450 is an apocalyptic number.

10400216450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400216450 is an abundant number, since it is smaller than the sum of its proper divisors (10519694590).

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

10400216450 is a wasteful number, since it uses less digits than its factorization.

10400216450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67211 (or 67206 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 10400216450 its reverse (5461200401), we get a palindrome (15861416851).

The spelling of 10400216450 in words is "ten billion, four hundred million, two hundred sixteen thousand, four hundred fifty".