4268499606400 has 384 divisors, whose sum is σ = 11058221023200. Its totient is φ = 1625991413760.

The previous prime is 4268499606347. The next prime is 4268499606409. The reversal of 4268499606400 is 46069948624.

It is a happy number.

4268499606400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4268499606400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268499606409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2443330327 + ... + 2443332073.

Almost surely, 2^{4268499606400} is an apocalyptic number.

4268499606400 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 4268499606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529110511600).

4268499606400 is an abundant number, since it is smaller than the sum of its proper divisors (6789721416800).

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

4268499606400 is a wasteful number, since it uses less digits than its factorization.

4268499606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 58.

The spelling of 4268499606400 in words is "four trillion, two hundred sixty-eight billion, four hundred ninety-nine million, six hundred six thousand, four hundred".