405687260160 has 2112 divisors, whose sum is σ = 1919434890240. Its totient is φ = 80263249920.

The previous prime is 405687260123. The next prime is 405687260161. The reversal of 405687260160 is 61062786504.

405687260160 is a `hidden beast` number, since 4 + 0 + 568 + 7 + 26 + 0 + 1 + 60 = 666.

It is a super-2 number, since 2×405687260160² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405687260161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1497000825 + ... + 1497001095.

Almost surely, 2^405687260160 is an apocalyptic number.

405687260160 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 405687260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959717445120).

405687260160 is an abundant number, since it is smaller than the sum of its proper divisors (1513747630080).

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

405687260160 is a wasteful number, since it uses less digits than its factorization.

405687260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 405687260160 in words is "four hundred five billion, six hundred eighty-seven million, two hundred sixty thousand, one hundred sixty".