438216690240 has 840 divisors, whose sum is σ = 1775789184000. Its totient is φ = 99175974912.

The previous prime is 438216690199. The next prime is 438216690253. The reversal of 438216690240 is 42096612834.

438216690240 is a `hidden beast` number, since 4 + 382 + 166 + 90 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-3 number, since 3×438216690240³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 878189511 + ... + 878190009.

Almost surely, 2^438216690240 is an apocalyptic number.

438216690240 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 438216690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887894592000).

438216690240 is an abundant number, since it is smaller than the sum of its proper divisors (1337572493760).

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

438216690240 is a wasteful number, since it uses less digits than its factorization.

438216690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 438216690240 in words is "four hundred thirty-eight billion, two hundred sixteen million, six hundred ninety thousand, two hundred forty".