406115863050240 has 1728 divisors, whose sum is σ = 1797855733346400. Its totient is φ = 87365655724032.

The previous prime is 406115863050199. The next prime is 406115863050329. The reversal of 406115863050240 is 42050368511604.

406115863050240 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 1 + 5 + 8 + 630 + 5 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2072672596 + ... + 2072868524.

Almost surely, 2^{406115863050240} is an apocalyptic number.

406115863050240 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 406115863050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898927866673200).

406115863050240 is an abundant number, since it is smaller than the sum of its proper divisors (1391739870296160).

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

406115863050240 is a wasteful number, since it uses less digits than its factorization.

406115863050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196002 (or 195963 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 406115863050240 in words is "four hundred six trillion, one hundred fifteen billion, eight hundred sixty-three million, fifty thousand, two hundred forty".