1282199040 has 480 divisors, whose sum is σ = 4883392800. Its totient is φ = 309657600.

The previous prime is 1282198997. The next prime is 1282199053. The reversal of 1282199040 is 409912821.

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 = 1282198986 and 1282199004.

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, 12694990 + ... + 12695090.

It is an arithmetic number, because the mean of its divisors is an integer number (10173735).

Almost surely, 2^1282199040 is an apocalyptic number.

1282199040 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 1282199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441696400).

1282199040 is an abundant number, since it is smaller than the sum of its proper divisors (3601193760).

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

1282199040 is a wasteful number, since it uses less digits than its factorization.

1282199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1282199040 is about 35807.8069699891. The cubic root of 1282199040 is about 1086.3884734986.

The spelling of 1282199040 in words is "one billion, two hundred eighty-two million, one hundred ninety-nine thousand, forty".