403724344464 has 270 divisors, whose sum is σ = 1373977884006. Its totient is φ = 110333583360.

The previous prime is 403724344411. The next prime is 403724344511. The reversal of 403724344464 is 464443427304.

It is a happy number.

403724344464 is a `hidden beast` number, since 40 + 3 + 72 + 43 + 44 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 379835550864 + 23888793600 = 616308^2 + 154560^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3678544 + ... + 3786704.

Almost surely, 2^403724344464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403724344464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686988942003).

403724344464 is an abundant number, since it is smaller than the sum of its proper divisors (970253539542).

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

403724344464 is a wasteful number, since it uses less digits than its factorization.

403724344464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108235 (or 108196 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 45.

It can be divided in two parts, 40372 and 4344464, that added together give a square (4384836 = 2094²).

The spelling of 403724344464 in words is "four hundred three billion, seven hundred twenty-four million, three hundred forty-four thousand, four hundred sixty-four".