1453282871040 has 4320 divisors, whose sum is σ = 7515642140160. Its totient is φ = 260138926080.

The previous prime is 1453282870987. The next prime is 1453282871041. The reversal of 1453282871040 is 401782823541.

1453282871040 is a `hidden beast` number, since 1 + 4 + 5 + 328 + 287 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×1453282871040² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453282871041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21690789087 + ... + 21690789153.

Almost surely, 2^{1453282871040} is an apocalyptic number.

1453282871040 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 1453282871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757821070080).

1453282871040 is an abundant number, since it is smaller than the sum of its proper divisors (6062359269120).

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

1453282871040 is a wasteful number, since it uses less digits than its factorization.

1453282871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1453282871040 in words is "one trillion, four hundred fifty-three billion, two hundred eighty-two million, eight hundred seventy-one thousand, forty".