4280106444400 has 60 divisors (see below), whose sum is σ = 10377294881800. Its totient is φ = 1696335747840.

The previous prime is 4280106444377. The next prime is 4280106444407. The reversal of 4280106444400 is 44446010824.

It is a super-2 number, since 2×4280106444400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4280106444400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280106444407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49040190 + ... + 49127389.

Almost surely, 2^{4280106444400} is an apocalyptic number.

4280106444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4280106444400 is an abundant number, since it is smaller than the sum of its proper divisors (6097188437400).

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

4280106444400 is a wasteful number, since it uses less digits than its factorization.

4280106444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98167706 (or 98167695 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The spelling of 4280106444400 in words is "four trillion, two hundred eighty billion, one hundred six million, four hundred forty-four thousand, four hundred".