416046488130 has 256 divisors, whose sum is σ = 1372363776000. Its totient is φ = 87339098880.

The previous prime is 416046488113. The next prime is 416046488189. The reversal of 416046488130 is 31884640614.

416046488130 is a `hidden beast` number, since 4 + 1 + 604 + 6 + 4 + 8 + 8 + 1 + 30 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4846885 + ... + 4931975.

It is an arithmetic number, because the mean of its divisors is an integer number (5360796000).

Almost surely, 2^416046488130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416046488130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686181888000).

416046488130 is an abundant number, since it is smaller than the sum of its proper divisors (956317287870).

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

416046488130 is a wasteful number, since it uses less digits than its factorization.

416046488130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85326 (or 85320 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 416046488130 in words is "four hundred sixteen billion, forty-six million, four hundred eighty-eight thousand, one hundred thirty".