1225714694400 has 729 divisors, whose sum is σ = 5105416182321. Its totient is φ = 279738224640.

The previous prime is 1225714694381. The next prime is 1225714694431. The reversal of 1225714694400 is 44964175221.

The square root of 1225714694400 is 1107120.

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

1225714694400 is a `hidden beast` number, since 1 + 225 + 7 + 14 + 6 + 9 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 441257289984 + 784457404416 = 664272^2 + 885696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 80 ways as a sum of consecutive naturals, for example, 1859961271 + ... + 1859961929.

Almost surely, 2^{1225714694400} is an apocalyptic number.

1225714694400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1225714694400 is the 1107120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225714694400

1225714694400 is an abundant number, since it is smaller than the sum of its proper divisors (3879701487921).

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

1225714694400 is an frugal number, since it uses more digits than its factorization.

1225714694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1225714694400 in words is "one trillion, two hundred twenty-five billion, seven hundred fourteen million, six hundred ninety-four thousand, four hundred".