4201100413440 has 320 divisors, whose sum is σ = 15358718479104. Its totient is φ = 959644827648.

The previous prime is 4201100413423. The next prime is 4201100413453. The reversal of 4201100413440 is 443140011024.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4201100413440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87981252 + ... + 88028988.

Almost surely, 2^{4201100413440} is an apocalyptic number.

4201100413440 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 4201100413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679359239552).

4201100413440 is an abundant number, since it is smaller than the sum of its proper divisors (11157618065664).

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

4201100413440 is a wasteful number, since it uses less digits than its factorization.

4201100413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49407 (or 49391 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4201100413440 its reverse (443140011024), we get a palindrome (4644240424464).

The spelling of 4201100413440 in words is "four trillion, two hundred one billion, one hundred million, four hundred thirteen thousand, four hundred forty".