1067874224400 has 225 divisors, whose sum is σ = 3833182583263. Its totient is φ = 284716857600.

The previous prime is 1067874224309. The next prime is 1067874224401. The reversal of 1067874224400 is 44224787601.

The square root of 1067874224400 is 1033380.

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

1067874224400 is a `hidden beast` number, since 10 + 6 + 7 + 8 + 7 + 4 + 224 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21394327824 + 1046479896576 = 146268^2 + 1022976^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×1067874224400² (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1067874224401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 186005530 + ... + 186011270.

Almost surely, 2^{1067874224400} is an apocalyptic number.

1067874224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1067874224400 is the 1033380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1067874224400

1067874224400 is an abundant number, since it is smaller than the sum of its proper divisors (2765308358863).

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

1067874224400 is an frugal number, since it uses more digits than its factorization.

1067874224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11512 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 1067874224400 in words is "one trillion, sixty-seven billion, eight hundred seventy-four million, two hundred twenty-four thousand, four hundred".