1435220113200 has 120 divisors (see below), whose sum is σ = 4601487200256. Its totient is φ = 382392480000.

The previous prime is 1435220113183. The next prime is 1435220113211. The reversal of 1435220113200 is 23110225341.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861645 + ... + 1900755.

Almost surely, 2^{1435220113200} is an apocalyptic number.

1435220113200 is a gapful number since it is divisible by the number (10) 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 1435220113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300743600128).

1435220113200 is an abundant number, since it is smaller than the sum of its proper divisors (3166267087056).

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

1435220113200 is a wasteful number, since it uses less digits than its factorization.

1435220113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040283 (or 1040272 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1435220113200 its reverse (23110225341), we get a palindrome (1458330338541).

The spelling of 1435220113200 in words is "one trillion, four hundred thirty-five billion, two hundred twenty million, one hundred thirteen thousand, two hundred".