404630948736 has 288 divisors, whose sum is σ = 1355551076880. Its totient is φ = 115516477440.

The previous prime is 404630948731. The next prime is 404630948747. The reversal of 404630948736 is 637849036404.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404630948731) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104257516 + ... + 104261396.

Almost surely, 2^404630948736 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 404630948736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677775538440).

404630948736 is an abundant number, since it is smaller than the sum of its proper divisors (950920128144).

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

404630948736 is a wasteful number, since it uses less digits than its factorization.

404630948736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 404630948736 in words is "four hundred four billion, six hundred thirty million, nine hundred forty-eight thousand, seven hundred thirty-six".