405606801600 has 2016 divisors, whose sum is σ = 2038854504960. Its totient is φ = 73654272000.

The previous prime is 405606801599. The next prime is 405606801653. The reversal of 405606801600 is 6108606504.

405606801600 is a `hidden beast` number, since 4 + 0 + 560 + 6 + 80 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 273872860 + ... + 273874340.

It is an arithmetic number, because the mean of its divisors is an integer number (1011336560).

Almost surely, 2^405606801600 is an apocalyptic number.

405606801600 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 405606801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019427252480).

405606801600 is an abundant number, since it is smaller than the sum of its proper divisors (1633247703360).

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

405606801600 is a wasteful number, since it uses less digits than its factorization.

405606801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 405606801600 in words is "four hundred five billion, six hundred six million, eight hundred one thousand, six hundred".