4267056860400 has 480 divisors, whose sum is σ = 14180502961152. Its totient is φ = 1096197939200.

The previous prime is 4267056860389. The next prime is 4267056860419. The reversal of 4267056860400 is 40686507624.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4267056860400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1187601004 + ... + 1187604596.

Almost surely, 2^{4267056860400} is an apocalyptic number.

4267056860400 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 4267056860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090251480576).

4267056860400 is an abundant number, since it is smaller than the sum of its proper divisors (9913446100752).

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

4267056860400 is a wasteful number, since it uses less digits than its factorization.

4267056860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 4267056860400 in words is "four trillion, two hundred sixty-seven billion, fifty-six million, eight hundred sixty thousand, four hundred".