1278167040 has 480 divisors, whose sum is σ = 4851887040. Its totient is φ = 321159168.

The previous prime is 1278167039. The next prime is 1278167057. The reversal of 1278167040 is 407618721.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1278166986 and 1278167004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19077087 + ... + 19077153.

It is an arithmetic number, because the mean of its divisors is an integer number (10108098).

Almost surely, 2^1278167040 is an apocalyptic number.

1278167040 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 1278167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425943520).

1278167040 is an abundant number, since it is smaller than the sum of its proper divisors (3573720000).

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

1278167040 is an equidigital number, since it uses as much as digits as its factorization.

1278167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1278167040 is about 35751.4620680050. The cubic root of 1278167040 is about 1085.2485262485.

The spelling of 1278167040 in words is "one billion, two hundred seventy-eight million, one hundred sixty-seven thousand, forty".