416280617280 has 1008 divisors, whose sum is σ = 1648537817472. Its totient is φ = 99906048000.

The previous prime is 416280617183. The next prime is 416280617303. The reversal of 416280617280 is 82716082614.

416280617280 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 8 + 0 + 617 + 28 + 0 = 666.

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, 1420752814 + ... + 1420753106.

It is an arithmetic number, because the mean of its divisors is an integer number (1635454184).

Almost surely, 2^416280617280 is an apocalyptic number.

416280617280 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 416280617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824268908736).

416280617280 is an abundant number, since it is smaller than the sum of its proper divisors (1232257200192).

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

416280617280 is a wasteful number, since it uses less digits than its factorization.

416280617280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

Adding to 416280617280 its reverse (82716082614), we get a palindrome (498996699894).

The spelling of 416280617280 in words is "four hundred sixteen billion, two hundred eighty million, six hundred seventeen thousand, two hundred eighty".