4268542976100 has 432 divisors, whose sum is σ = 15698634112000. Its totient is φ = 988908963840.

The previous prime is 4268542976077. The next prime is 4268542976167. The reversal of 4268542976100 is 16792458624.

4268542976100 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 542 + 97 + 6 + 1 + 0 + 0 = 666.

It is a super-3 number, since 3×4268542976100³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9933501 + ... + 10354299.

Almost surely, 2^{4268542976100} 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 4268542976100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849317056000).

4268542976100 is an abundant number, since it is smaller than the sum of its proper divisors (11430091135900).

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

4268542976100 is a wasteful number, since it uses less digits than its factorization.

4268542976100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420869 (or 420839 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4268542976100 in words is "four trillion, two hundred sixty-eight billion, five hundred forty-two million, nine hundred seventy-six thousand, one hundred".