416045185920 has 1920 divisors, whose sum is σ = 1911083660640. Its totient is φ = 85446918144.

The previous prime is 416045185891. The next prime is 416045185943. The reversal of 416045185920 is 29581540614.

416045185920 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 4 + 51 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1419949294 + ... + 1419949586.

Almost surely, 2^416045185920 is an apocalyptic number.

416045185920 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 416045185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955541830320).

416045185920 is an abundant number, since it is smaller than the sum of its proper divisors (1495038474720).

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

416045185920 is a wasteful number, since it uses less digits than its factorization.

416045185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 416045185920 in words is "four hundred sixteen billion, forty-five million, one hundred eighty-five thousand, nine hundred twenty".