1281202416 has 240 divisors, whose sum is σ = 4133735424. Its totient is φ = 366944256.

The previous prime is 1281202393. The next prime is 1281202423. The reversal of 1281202416 is 6142021821.

1281202416 is a `hidden beast` number, since 128 + 120 + 2 + 416 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1281202416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4041490 + ... + 4041806.

Almost surely, 2^1281202416 is an apocalyptic number.

1281202416 is a gapful number since it is divisible by the number (16) 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 1281202416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066867712).

1281202416 is an abundant number, since it is smaller than the sum of its proper divisors (2852533008).

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

1281202416 is a wasteful number, since it uses less digits than its factorization.

1281202416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

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

The square root of 1281202416 is about 35793.8879698755. The cubic root of 1281202416 is about 1086.1069255647.

The spelling of 1281202416 in words is "one billion, two hundred eighty-one million, two hundred two thousand, four hundred sixteen".