4202774726400 has 432 divisors, whose sum is σ = 15433037222400. Its totient is φ = 1119148093440.

The previous prime is 4202774726389. The next prime is 4202774726443. The reversal of 4202774726400 is 46274772024.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 124226287 + ... + 124260113.

It is an arithmetic number, because the mean of its divisors is an integer number (35724623200).

Almost surely, 2^{4202774726400} is an apocalyptic number.

4202774726400 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 4202774726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716518611200).

4202774726400 is an abundant number, since it is smaller than the sum of its proper divisors (11230262496000).

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

4202774726400 is a wasteful number, since it uses less digits than its factorization.

4202774726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34581 (or 34556 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 4202774726400 in words is "four trillion, two hundred two billion, seven hundred seventy-four million, seven hundred twenty-six thousand, four hundred".