1291883040 has 576 divisors, whose sum is σ = 5584723200. Its totient is φ = 277143552.

The previous prime is 1291882997. The next prime is 1291883041. The reversal of 1291883040 is 403881921.

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 = 1291882986 and 1291883004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1291883041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3598381 + ... + 3598739.

It is an arithmetic number, because the mean of its divisors is an integer number (9695700).

Almost surely, 2^1291883040 is an apocalyptic number.

1291883040 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 1291883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792361600).

1291883040 is an abundant number, since it is smaller than the sum of its proper divisors (4292840160).

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

1291883040 is a wasteful number, since it uses less digits than its factorization.

1291883040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1291883040 is about 35942.7745172795. The cubic root of 1291883040 is about 1089.1166537908.

The spelling of 1291883040 in words is "one billion, two hundred ninety-one million, eight hundred eighty-three thousand, forty".