416034465840 has 640 divisors, whose sum is σ = 1709719142400. Its totient is φ = 90982932480.

The previous prime is 416034465839. The next prime is 416034465853. The reversal of 416034465840 is 48564430614.

416034465840 is a `hidden beast` number, since 4 + 1 + 60 + 3 + 4 + 4 + 6 + 584 + 0 = 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, 41711094 + ... + 41721066.

It is an arithmetic number, because the mean of its divisors is an integer number (2671436160).

Almost surely, 2^416034465840 is an apocalyptic number.

416034465840 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 416034465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854859571200).

416034465840 is an abundant number, since it is smaller than the sum of its proper divisors (1293684676560).

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

416034465840 is a wasteful number, since it uses less digits than its factorization.

416034465840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10122 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 416034465840 in words is "four hundred sixteen billion, thirty-four million, four hundred sixty-five thousand, eight hundred forty".