4202728734400 has 84 divisors (see below), whose sum is σ = 11818673622448. Its totient is φ = 1440935562240.

The previous prime is 4202728734313. The next prime is 4202728734403. The reversal of 4202728734400 is 44378272024.

It is not an unprimeable number, because it can be changed into a prime (4202728734403) 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, 187610619 + ... + 187633018.

Almost surely, 2^{4202728734400} is an apocalyptic number.

4202728734400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4202728734400 is an abundant number, since it is smaller than the sum of its proper divisors (7615944888048).

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

4202728734400 is a wasteful number, since it uses less digits than its factorization.

4202728734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375243666 (or 375243651 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 43.

The spelling of 4202728734400 in words is "four trillion, two hundred two billion, seven hundred twenty-eight million, seven hundred thirty-four thousand, four hundred".