935416002240 has 896 divisors, whose sum is σ = 3563087616000. Its totient is φ = 230183534592.

The previous prime is 935416002233. The next prime is 935416002263. The reversal of 935416002240 is 42200614539.

It is a happy number.

935416002240 is a `hidden beast` number, since 9 + 3 + 5 + 4 + 1 + 600 + 2 + 2 + 40 = 666.

935416002240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 935416002195 and 935416002204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2130787941 + ... + 2130788379.

Almost surely, 2^935416002240 is an apocalyptic number.

935416002240 is a gapful number since it is divisible by the number (90) 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 935416002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781543808000).

935416002240 is an abundant number, since it is smaller than the sum of its proper divisors (2627671613760).

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

935416002240 is a wasteful number, since it uses less digits than its factorization.

935416002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 935416002240 its reverse (42200614539), we get a palindrome (977616616779).

The spelling of 935416002240 in words is "nine hundred thirty-five billion, four hundred sixteen million, two thousand, two hundred forty".