416897046720 has 1120 divisors, whose sum is σ = 1870476157440. Its totient is φ = 85618114560.

The previous prime is 416897046647. The next prime is 416897046721. The reversal of 416897046720 is 27640798614.

416897046720 is a `hidden beast` number, since 4 + 16 + 89 + 70 + 467 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (416897046721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 177628587 + ... + 177630933.

Almost surely, 2^416897046720 is an apocalyptic number.

416897046720 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 416897046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935238078720).

416897046720 is an abundant number, since it is smaller than the sum of its proper divisors (1453579110720).

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

416897046720 is a wasteful number, since it uses less digits than its factorization.

416897046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 416897046720 in words is "four hundred sixteen billion, eight hundred ninety-seven million, forty-six thousand, seven hundred twenty".