10416442440000 has 280 divisors, whose sum is σ = 34535262928320. Its totient is φ = 2769969152000.

The previous prime is 10416442439993. The next prime is 10416442440007. The reversal of 10416442440000 is 4424461401.

It is an interprime number because it is at equal distance from previous prime (10416442439993) and next prime (10416442440007).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10416442440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416442440007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42959104 + ... + 43200896.

It is an arithmetic number, because the mean of its divisors is an integer number (123340224744).

Almost surely, 2^{10416442440000} is an apocalyptic number.

10416442440000 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 10416442440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267631464160).

10416442440000 is an abundant number, since it is smaller than the sum of its proper divisors (24118820488320).

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

10416442440000 is an equidigital number, since it uses as much as digits as its factorization.

10416442440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242187 (or 242162 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 10416442440000 in words is "ten trillion, four hundred sixteen billion, four hundred forty-two million, four hundred forty thousand".