1278199440 has 560 divisors, whose sum is σ = 5308517376. Its totient is φ = 279936000.

The previous prime is 1278199427. The next prime is 1278199457. The reversal of 1278199440 is 449918721.

It is a happy number.

1278199440 is a `hidden beast` number, since 12 + 7 + 8 + 199 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12655390 + ... + 12655490.

Almost surely, 2^1278199440 is an apocalyptic number.

1278199440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1278199440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654258688).

1278199440 is an abundant number, since it is smaller than the sum of its proper divisors (4030317936).

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

1278199440 is a wasteful number, since it uses less digits than its factorization.

1278199440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1278199440 is about 35751.9151934550. The cubic root of 1278199440 is about 1085.2576960868.

The spelling of 1278199440 in words is "one billion, two hundred seventy-eight million, one hundred ninety-nine thousand, four hundred forty".