1278275040 has 384 divisors, whose sum is σ = 5242890240. Its totient is φ = 284774400.

The previous prime is 1278275039. The next prime is 1278275051. The reversal of 1278275040 is 405728721.

1278275040 is a `hidden beast` number, since 127 + 8 + 27 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1278274986 and 1278275004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239325 + ... + 1240355.

It is an arithmetic number, because the mean of its divisors is an integer number (13653360).

Almost surely, 2^1278275040 is an apocalyptic number.

1278275040 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 1278275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621445120).

1278275040 is an abundant number, since it is smaller than the sum of its proper divisors (3964615200).

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

1278275040 is a wasteful number, since it uses less digits than its factorization.

1278275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1278275040 is about 35752.9724638386. The cubic root of 1278275040 is about 1085.2790917735.

The spelling of 1278275040 in words is "one billion, two hundred seventy-eight million, two hundred seventy-five thousand, forty".