1283635140480 has 3072 divisors, whose sum is σ = 6250989542400. Its totient is φ = 247292559360.

The previous prime is 1283635140479. The next prime is 1283635140493. The reversal of 1283635140480 is 840415363821.

1283635140480 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 635 + 1 + 4 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19158733407 + ... + 19158733473.

It is an arithmetic number, because the mean of its divisors is an integer number (2034827325).

Almost surely, 2^{1283635140480} is an apocalyptic number.

1283635140480 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 1283635140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125494771200).

1283635140480 is an abundant number, since it is smaller than the sum of its proper divisors (4967354401920).

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

1283635140480 is a wasteful number, since it uses less digits than its factorization.

1283635140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1283635140480 in words is "one trillion, two hundred eighty-three billion, six hundred thirty-five million, one hundred forty thousand, four hundred eighty".