405061440000 has 1200 divisors, whose sum is σ = 1603039363200. Its totient is φ = 90574848000.

The previous prime is 405061439999. The next prime is 405061440037. The reversal of 405061440000 is 44160504.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3716159946 + ... + 3716160054.

It is an arithmetic number, because the mean of its divisors is an integer number (1335866136).

Almost surely, 2^405061440000 is an apocalyptic number.

405061440000 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 405061440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801519681600).

405061440000 is an abundant number, since it is smaller than the sum of its proper divisors (1197977923200).

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

405061440000 is an equidigital number, since it uses as much as digits as its factorization.

405061440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 405061440000 in words is "four hundred five billion, sixty-one million, four hundred forty thousand".