406012671540 has 288 divisors, whose sum is σ = 1433870290944. Its totient is φ = 91075311360.

The previous prime is 406012671523. The next prime is 406012671551. The reversal of 406012671540 is 45176210604.

406012671540 is a `hidden beast` number, since 4 + 0 + 601 + 2 + 6 + 7 + 1 + 5 + 40 = 666.

406012671540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 406012671495 and 406012671504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22868947 + ... + 22886693.

It is an arithmetic number, because the mean of its divisors is an integer number (4978716288).

Almost surely, 2^406012671540 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 406012671540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716935145472).

406012671540 is an abundant number, since it is smaller than the sum of its proper divisors (1027857619404).

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

406012671540 is a wasteful number, since it uses less digits than its factorization.

406012671540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18107 (or 18102 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 406012671540 in words is "four hundred six billion, twelve million, six hundred seventy-one thousand, five hundred forty".