1304118144 has 480 divisors, whose sum is σ = 4811898960. Its totient is φ = 348364800.

The previous prime is 1304118113. The next prime is 1304118173. The reversal of 1304118144 is 4418114031.

1304118144 is a `hidden beast` number, since 130 + 411 + 81 + 44 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8636469 + ... + 8636619.

Almost surely, 2^1304118144 is an apocalyptic number.

1304118144 is a gapful number since it is divisible by the number (14) 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 1304118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405949480).

1304118144 is an abundant number, since it is smaller than the sum of its proper divisors (3507780816).

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

1304118144 is a wasteful number, since it uses less digits than its factorization.

1304118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1304118144 is about 36112.5759812285. The cubic root of 1304118144 is about 1092.5441075424.

The spelling of 1304118144 in words is "one billion, three hundred four million, one hundred eighteen thousand, one hundred forty-four".