416000778480 has 480 divisors, whose sum is σ = 1658819495424. Its totient is φ = 94911740928.

The previous prime is 416000778437. The next prime is 416000778497. The reversal of 416000778480 is 84877000614.

416000778480 is a `hidden beast` number, since 4 + 160 + 0 + 0 + 7 + 7 + 8 + 480 = 666.

It is a super-2 number, since 2×416000778480² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 83414547 + ... + 83419533.

Almost surely, 2^416000778480 is an apocalyptic number.

416000778480 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 416000778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829409747712).

416000778480 is an abundant number, since it is smaller than the sum of its proper divisors (1242818716944).

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

416000778480 is a wasteful number, since it uses less digits than its factorization.

416000778480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5635 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 416000778480 in words is "four hundred sixteen billion, seven hundred seventy-eight thousand, four hundred eighty".