356227121040400 has 45 divisors (see below), whose sum is σ = 855836565195261. Its totient is φ = 142490697424320.

The previous prime is 356227121040397. The next prime is 356227121040431. The reversal of 356227121040400 is 4040121722653.

The square root of 356227121040400 is 18873980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 128241763574544 + 227985357465856 = 11324388^2 + 15099184^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 356227121040400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 377007751 + ... + 377951449.

Almost surely, 2^{356227121040400} is an apocalyptic number.

356227121040400 is the 18873980-th square number.

It is an amenable number.

356227121040400 is an abundant number, since it is smaller than the sum of its proper divisors (499609444154861).

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

356227121040400 is an frugal number, since it uses more digits than its factorization.

356227121040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887416 (or 943706 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 356227121040400 in words is "three hundred fifty-six trillion, two hundred twenty-seven billion, one hundred twenty-one million, forty thousand, four hundred".