4101453523440 has 1440 divisors, whose sum is σ = 17614348038144. Its totient is φ = 836911595520.

The previous prime is 4101453523421. The next prime is 4101453523441. The reversal of 4101453523440 is 443253541014.

4101453523440 is a `hidden beast` number, since 41 + 0 + 1 + 4 + 53 + 523 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4101453523395 and 4101453523404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101453523441) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4138701345 + ... + 4138702335.

Almost surely, 2^{4101453523440} is an apocalyptic number.

4101453523440 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 4101453523440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8807174019072).

4101453523440 is an abundant number, since it is smaller than the sum of its proper divisors (13512894514704).

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

4101453523440 is a wasteful number, since it uses less digits than its factorization.

4101453523440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 4101453523440 in words is "four trillion, one hundred one billion, four hundred fifty-three million, five hundred twenty-three thousand, four hundred forty".