405687145006080 has 3960 divisors, whose sum is σ = 1890359257255128. Its totient is φ = 82655094767616.

The previous prime is 405687145006057. The next prime is 405687145006109. The reversal of 405687145006080 is 80600541786504.

405687145006080 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 8 + 71 + 4 + 500 + 60 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 219740540027904 + 185946604978176 = 14823648^2 + 13636224^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 124711693734 + ... + 124711696986.

Almost surely, 2^{405687145006080} is an apocalyptic number.

405687145006080 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 405687145006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945179628627564).

405687145006080 is an abundant number, since it is smaller than the sum of its proper divisors (1484672112249048).

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

405687145006080 is a wasteful number, since it uses less digits than its factorization.

405687145006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 405687145006080 in words is "four hundred five trillion, six hundred eighty-seven billion, one hundred forty-five million, six thousand, eighty".