1403826868224 has 975 divisors, whose sum is σ = 4900285695085. Its totient is φ = 400378429440.

The previous prime is 1403826868177. The next prime is 1403826868229. The reversal of 1403826868224 is 4228686283041.

The square root of 1403826868224 is 1184832.

It is a perfect power (a square), and thus also a powerful number.

1403826868224 is a `hidden beast` number, since 1 + 403 + 8 + 2 + 6 + 8 + 6 + 8 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1092944793600 + 310882074624 = 1045440^2 + 557568^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1403826868229) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 82578051064 + ... + 82578051080.

Almost surely, 2^{1403826868224} is an apocalyptic number.

1403826868224 is the 1184832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1403826868224

1403826868224 is an abundant number, since it is smaller than the sum of its proper divisors (3496458826861).

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

1403826868224 is an frugal number, since it uses more digits than its factorization.

1403826868224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 1403826868224 in words is "one trillion, four hundred three billion, eight hundred twenty-six million, eight hundred sixty-eight thousand, two hundred twenty-four".