416760422400 has 1680 divisors, whose sum is σ = 1830796842336. Its totient is φ = 91729428480.

The previous prime is 416760422357. The next prime is 416760422417. The reversal of 416760422400 is 4224067614.

416760422400 is a `hidden beast` number, since 4 + 1 + 6 + 7 + 604 + 2 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4296499152 + ... + 4296499248.

Almost surely, 2^416760422400 is an apocalyptic number.

416760422400 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 416760422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915398421168).

416760422400 is an abundant number, since it is smaller than the sum of its proper divisors (1414036419936).

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

416760422400 is an equidigital number, since it uses as much as digits as its factorization.

416760422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

It can be divided in two parts, 416760 and 422400, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 416760422400 in words is "four hundred sixteen billion, seven hundred sixty million, four hundred twenty-two thousand, four hundred".