1000405504000 has 208 divisors, whose sum is σ = 2853390024576. Its totient is φ = 342994944000.

The previous prime is 1000405503973. The next prime is 1000405504001. The reversal of 1000405504000 is 4055040001.

It is a super-2 number, since 2×1000405504000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000405504001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3444435 + ... + 3723565.

It is an arithmetic number, because the mean of its divisors is an integer number (13718221272).

Almost surely, 2^{1000405504000} is an apocalyptic number.

1000405504000 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 1000405504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426695012288).

1000405504000 is an abundant number, since it is smaller than the sum of its proper divisors (1852984520576).

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

1000405504000 is an frugal number, since it uses more digits than its factorization.

1000405504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279177 (or 279145 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The spelling of 1000405504000 in words is "one trillion, four hundred five million, five hundred four thousand".