405969408000 has 1248 divisors, whose sum is σ = 1640935400832. Its totient is φ = 99532800000.

The previous prime is 405969407999. The next prime is 405969408001. The reversal of 405969408000 is 804969504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (405969407999) and next prime (405969408001).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×405969408000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (405969408001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1617407875 + ... + 1617408125.

It is an arithmetic number, because the mean of its divisors is an integer number (1314852084).

Almost surely, 2^405969408000 is an apocalyptic number.

405969408000 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 405969408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820467700416).

405969408000 is an abundant number, since it is smaller than the sum of its proper divisors (1234965992832).

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

405969408000 is an equidigital number, since it uses as much as digits as its factorization.

405969408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 405969408000 in words is "four hundred five billion, nine hundred sixty-nine million, four hundred eight thousand".