407212116480 has 800 divisors, whose sum is σ = 1625171763600. Its totient is φ = 96761806848.

The previous prime is 407212116439. The next prime is 407212116491. The reversal of 407212116480 is 84611212704.

It is a happy number.

407212116480 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 1 + 2 + 1 + 1 + 648 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 231738257664 + 175473858816 = 481392^2 + 418896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78172116 + ... + 78177324.

Almost surely, 2^407212116480 is an apocalyptic number.

407212116480 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 407212116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812585881800).

407212116480 is an abundant number, since it is smaller than the sum of its proper divisors (1217959647120).

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

407212116480 is a wasteful number, since it uses less digits than its factorization.

407212116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 407212116480 in words is "four hundred seven billion, two hundred twelve million, one hundred sixteen thousand, four hundred eighty".