4227361635840 has 640 divisors, whose sum is σ = 16393831584768. Its totient is φ = 907172904960.

The previous prime is 4227361635829. The next prime is 4227361635841. The reversal of 4227361635840 is 485361637224.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4227361635841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384754827 + ... + 384765813.

Almost surely, 2^{4227361635840} is an apocalyptic number.

4227361635840 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 4227361635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196915792384).

4227361635840 is an abundant number, since it is smaller than the sum of its proper divisors (12166469948928).

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

4227361635840 is a wasteful number, since it uses less digits than its factorization.

4227361635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11458 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 4227361635840 in words is "four trillion, two hundred twenty-seven billion, three hundred sixty-one million, six hundred thirty-five thousand, eight hundred forty".