406132513740 has 576 divisors, whose sum is σ = 1394852659200. Its totient is φ = 95152071168.

The previous prime is 406132513729. The next prime is 406132513753. The reversal of 406132513740 is 47315231604.

406132513740 is a `hidden beast` number, since 4 + 0 + 6 + 132 + 513 + 7 + 4 + 0 = 666.

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 = 406132513695 and 406132513704.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 564857101 + ... + 564857819.

It is an arithmetic number, because the mean of its divisors is an integer number (2421619200).

Almost surely, 2^406132513740 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 406132513740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697426329600).

406132513740 is an abundant number, since it is smaller than the sum of its proper divisors (988720145460).

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

406132513740 is a wasteful number, since it uses less digits than its factorization.

406132513740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 406132513740 in words is "four hundred six billion, one hundred thirty-two million, five hundred thirteen thousand, seven hundred forty".