416973025560 has 256 divisors, whose sum is σ = 1589258280960. Its totient is φ = 85138698240.

The previous prime is 416973025543. The next prime is 416973025583. The reversal of 416973025560 is 65520379614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277357 + ... + 954396.

It is an arithmetic number, because the mean of its divisors is an integer number (6208040160).

Almost surely, 2^416973025560 is an apocalyptic number.

416973025560 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 416973025560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794629140480).

416973025560 is an abundant number, since it is smaller than the sum of its proper divisors (1172285255400).

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

416973025560 is a wasteful number, since it uses less digits than its factorization.

416973025560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231818 (or 1231814 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 416973025560 in words is "four hundred sixteen billion, nine hundred seventy-three million, twenty-five thousand, five hundred sixty".