21435241400 has 288 divisors, whose sum is σ = 55536266880. Its totient is φ = 7682688000.

The previous prime is 21435241393. The next prime is 21435241403. The reversal of 21435241400 is 414253412.

It is a super-4 number, since 4×21435241400⁴ (a number of 42 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21435241400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21435241403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136530122 + ... + 136530278.

It is an arithmetic number, because the mean of its divisors is an integer number (192834260).

Almost surely, 2^21435241400 is an apocalyptic number.

21435241400 is a gapful number since it is divisible by the number (20) 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 21435241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27768133440).

21435241400 is an abundant number, since it is smaller than the sum of its proper divisors (34101025480).

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

21435241400 is a wasteful number, since it uses less digits than its factorization.

21435241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 21435241400 its reverse (414253412), we get a palindrome (21849494812).

The spelling of 21435241400 in words is "twenty-one billion, four hundred thirty-five million, two hundred forty-one thousand, four hundred".