1249968720400 has 45 divisors (see below), whose sum is σ = 3003103572583. Its totient is φ = 499978544000.

The previous prime is 1249968720389. The next prime is 1249968720409. The reversal of 1249968720400 is 40278699421.

The square root of 1249968720400 is 1118020.

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

It can be written as a sum of positive squares in 4 ways, for example, as 210743428624 + 1039225291776 = 459068^2 + 1019424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1249968720409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22332450 + ... + 22388350.

Almost surely, 2^{1249968720400} is an apocalyptic number.

1249968720400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1249968720400 is the 1118020-th square number.

It is an amenable number.

1249968720400 is an abundant number, since it is smaller than the sum of its proper divisors (1753134852183).

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

1249968720400 is an frugal number, since it uses more digits than its factorization.

1249968720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111820 (or 55908 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 1249968720400 in words is "one trillion, two hundred forty-nine billion, nine hundred sixty-eight million, seven hundred twenty thousand, four hundred".