4206628760400 has 1200 divisors, whose sum is σ = 17156913637248. Its totient is φ = 978034176000.

The previous prime is 4206628760297. The next prime is 4206628760431. The reversal of 4206628760400 is 40678266024.

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 936260554 + ... + 936265046.

Almost surely, 2^{4206628760400} is an apocalyptic number.

4206628760400 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 4206628760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578456818624).

4206628760400 is an abundant number, since it is smaller than the sum of its proper divisors (12950284876848).

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

4206628760400 is a wasteful number, since it uses less digits than its factorization.

4206628760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4206628760400 in words is "four trillion, two hundred six billion, six hundred twenty-eight million, seven hundred sixty thousand, four hundred".