10406403194880 has 960 divisors, whose sum is σ = 42047788769280. Its totient is φ = 2134691020800.

The previous prime is 10406403194861. The next prime is 10406403194921. The reversal of 10406403194880 is 8849130460401.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1494954600 + ... + 1494961560.

It is an arithmetic number, because the mean of its divisors is an integer number (43799779968).

Almost surely, 2^{10406403194880} is an apocalyptic number.

10406403194880 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 10406403194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21023894384640).

10406403194880 is an abundant number, since it is smaller than the sum of its proper divisors (31641385574400).

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

10406403194880 is an equidigital number, since it uses as much as digits as its factorization.

10406403194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 10406403194880 in words is "ten trillion, four hundred six billion, four hundred three million, one hundred ninety-four thousand, eight hundred eighty".