416466990720 has 512 divisors, whose sum is σ = 1623919968000. Its totient is φ = 100030464000.

The previous prime is 416466990701. The next prime is 416466990727. The reversal of 416466990720 is 27099664614.

It is a happy number.

It is a super-2 number, since 2×416466990720² (a number of 24 digits) contains 22 as substring.

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 (416466990727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20708670 + ... + 20728770.

Almost surely, 2^416466990720 is an apocalyptic number.

416466990720 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 416466990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811959984000).

416466990720 is an abundant number, since it is smaller than the sum of its proper divisors (1207452977280).

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

416466990720 is a wasteful number, since it uses less digits than its factorization.

416466990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20249 (or 20231 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 416466990720 in words is "four hundred sixteen billion, four hundred sixty-six million, nine hundred ninety thousand, seven hundred twenty".