4101450133440 has 224 divisors, whose sum is σ = 14331652206336. Its totient is φ = 985491619840.

The previous prime is 4101450133393. The next prime is 4101450133483. The reversal of 4101450133440 is 443310541014.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4101450133398 and 4101450133407.

It is a congruent number.

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, 525282 + ... + 2911841.

Almost surely, 2^{4101450133440} is an apocalyptic number.

4101450133440 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 4101450133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165826103168).

4101450133440 is an abundant number, since it is smaller than the sum of its proper divisors (10230202072896).

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

4101450133440 is a wasteful number, since it uses less digits than its factorization.

4101450133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437267 (or 3437257 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 4101450133440 its reverse (443310541014), we get a palindrome (4544760674454).

The spelling of 4101450133440 in words is "four trillion, one hundred one billion, four hundred fifty million, one hundred thirty-three thousand, four hundred forty".