4054229279100 has 1296 divisors, whose sum is σ = 17657651129664. Its totient is φ = 756548812800.

The previous prime is 4054229279059. The next prime is 4054229279159. The reversal of 4054229279100 is 19729224504.

4054229279100 is a `hidden beast` number, since 4 + 0 + 54 + 229 + 279 + 100 = 666.

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 431 ways as a sum of consecutive naturals, for example, 366660772 + ... + 366671828.

Almost surely, 2^{4054229279100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4054229279100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8828825564832).

4054229279100 is an abundant number, since it is smaller than the sum of its proper divisors (13603421850564).

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

4054229279100 is a wasteful number, since it uses less digits than its factorization.

4054229279100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11156 (or 11135 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4054229279100 in words is "four trillion, fifty-four billion, two hundred twenty-nine million, two hundred seventy-nine thousand, one hundred".