1282864649040 has 320 divisors, whose sum is σ = 4764612545280. Its totient is φ = 315387095040.

The previous prime is 1282864649029. The next prime is 1282864649047. The reversal of 1282864649040 is 409464682821.

It is a happy number.

1282864649040 is a `hidden beast` number, since 12 + 8 + 2 + 86 + 464 + 90 + 4 + 0 = 666.

It is a super-3 number, since 3×1282864649040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282864649047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22744714 + ... + 22801046.

It is an arithmetic number, because the mean of its divisors is an integer number (14889414204).

Almost surely, 2^{1282864649040} is an apocalyptic number.

1282864649040 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 1282864649040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382306272640).

1282864649040 is an abundant number, since it is smaller than the sum of its proper divisors (3481747896240).

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

1282864649040 is a wasteful number, since it uses less digits than its factorization.

1282864649040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57179 (or 57167 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 1282864649040 in words is "one trillion, two hundred eighty-two billion, eight hundred sixty-four million, six hundred forty-nine thousand, forty".