406145075332788 has 144 divisors (see below), whose sum is σ = 1133584886895552. Its totient is φ = 121579064640000.

The previous prime is 406145075332757. The next prime is 406145075332849. The reversal of 406145075332788 is 887233570541604.

It is a happy number.

406145075332788 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 4 + 507 + 53 + 3 + 2 + 78 + 8 = 666.

It is a super-3 number, since 3×406145075332788³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324802048 + ... + 326050088.

It is an arithmetic number, because the mean of its divisors is an integer number (7872117270108).

Almost surely, 2^{406145075332788} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406145075332788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566792443447776).

406145075332788 is an abundant number, since it is smaller than the sum of its proper divisors (727439811562764).

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

406145075332788 is a wasteful number, since it uses less digits than its factorization.

406145075332788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258046 (or 1258041 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 406145075332788 in words is "four hundred six trillion, one hundred forty-five billion, seventy-five million, three hundred thirty-two thousand, seven hundred eighty-eight".