4054434563520 has 336 divisors, whose sum is σ = 15216835151232. Its totient is φ = 982667704320.

The previous prime is 4054434563483. The next prime is 4054434563533. The reversal of 4054434563520 is 253654344504.

4054434563520 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 4 + 3 + 4 + 5 + 635 + 2 + 0 = 666.

It is a super-2 number, since 2×4054434563520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168620619 + ... + 168644661.

Almost surely, 2^{4054434563520} is an apocalyptic number.

4054434563520 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 4054434563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7608417575616).

4054434563520 is an abundant number, since it is smaller than the sum of its proper divisors (11162400587712).

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

4054434563520 is a wasteful number, since it uses less digits than its factorization.

4054434563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29400 (or 29387 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 4054434563520 in words is "four trillion, fifty-four billion, four hundred thirty-four million, five hundred sixty-three thousand, five hundred twenty".