10416556462400 has 672 divisors, whose sum is σ = 29283418598400. Its totient is φ = 3612672000000.

The previous prime is 10416556462399. The next prime is 10416556462423. The reversal of 10416556462400 is 426465561401.

It is a super-2 number, since 2×10416556462400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23199457376 + ... + 23199457824.

Almost surely, 2^{10416556462400} is an apocalyptic number.

10416556462400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10416556462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641709299200).

10416556462400 is an abundant number, since it is smaller than the sum of its proper divisors (18866862136000).

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

10416556462400 is a wasteful number, since it uses less digits than its factorization.

10416556462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

Subtracting from 10416556462400 its reverse (426465561401), we obtain a palindrome (9990090900999).

It can be divided in two parts, 104165 and 56462400, that added together give a palindrome (56566565).

The spelling of 10416556462400 in words is "ten trillion, four hundred sixteen billion, five hundred fifty-six million, four hundred sixty-two thousand, four hundred".