416884890240 has 1152 divisors, whose sum is σ = 1841498305920. Its totient is φ = 87877509120.

The previous prime is 416884890203. The next prime is 416884890241. The reversal of 416884890240 is 42098488614.

It is a happy number.

416884890240 is a `hidden beast` number, since 41 + 6 + 88 + 489 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416884890241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 382112095 + ... + 382113185.

It is an arithmetic number, because the mean of its divisors is an integer number (1598522835).

Almost surely, 2^416884890240 is an apocalyptic number.

416884890240 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 416884890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920749152960).

416884890240 is an abundant number, since it is smaller than the sum of its proper divisors (1424613415680).

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

416884890240 is an equidigital number, since it uses as much as digits as its factorization.

416884890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 416884890240 in words is "four hundred sixteen billion, eight hundred eighty-four million, eight hundred ninety thousand, two hundred forty".