405716065600 has 168 divisors, whose sum is σ = 1013213721600. Its totient is φ = 159873792000.

The previous prime is 405716065591. The next prime is 405716065607. The reversal of 405716065600 is 6560617504.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405716065607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60542250 + ... + 60548950.

Almost surely, 2^405716065600 is an apocalyptic number.

405716065600 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 405716065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506606860800).

405716065600 is an abundant number, since it is smaller than the sum of its proper divisors (607497656000).

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

405716065600 is a wasteful number, since it uses less digits than its factorization.

405716065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 405716065600 in words is "four hundred five billion, seven hundred sixteen million, sixty-five thousand, six hundred".