4054817352960 has 1152 divisors, whose sum is σ = 16047999313920. Its totient is φ = 961265664000.

The previous prime is 4054817352953. The next prime is 4054817352961. The reversal of 4054817352960 is 692537184504.

It is a happy number.

4054817352960 is a `hidden beast` number, since 4 + 0 + 5 + 48 + 1 + 73 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4054817352897 and 4054817352906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054817352961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3376200360 + ... + 3376201560.

It is an arithmetic number, because the mean of its divisors is an integer number (13930554960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4054817352960 = 8109634705920, but 3⋅4054817352960 = 12164452058880 is not.

Almost surely, 2^{4054817352960} is an apocalyptic number.

4054817352960 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 4054817352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023999656960).

4054817352960 is an abundant number, since it is smaller than the sum of its proper divisors (11993181960960).

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

4054817352960 is a wasteful number, since it uses less digits than its factorization.

4054817352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4054817352960 in words is "four trillion, fifty-four billion, eight hundred seventeen million, three hundred fifty-two thousand, nine hundred sixty".