405099744000 has 576 divisors, whose sum is σ = 1545587377152. Its totient is φ = 92123136000.

The previous prime is 405099743977. The next prime is 405099744067. The reversal of 405099744000 is 447990504.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141790572 + ... + 141793428.

Almost surely, 2^405099744000 is an apocalyptic number.

405099744000 is a gapful number since it is divisible by the number (40) 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 405099744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772793688576).

405099744000 is an abundant number, since it is smaller than the sum of its proper divisors (1140487633152).

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

405099744000 is a wasteful number, since it uses less digits than its factorization.

405099744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 405099744000 in words is "four hundred five billion, ninety-nine million, seven hundred forty-four thousand".