1071854340480 has 768 divisors, whose sum is σ = 4692868876800. Its totient is φ = 218942668800.

The previous prime is 1071854340463. The next prime is 1071854340481. The reversal of 1071854340480 is 840434581701.

1071854340480 is a `hidden beast` number, since 10 + 7 + 1 + 85 + 43 + 40 + 480 = 666.

It is a super-2 number, since 2×1071854340480² (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 (1071854340481) 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, 26147200 + ... + 26188160.

It is an arithmetic number, because the mean of its divisors is an integer number (6110506350).

Almost surely, 2^{1071854340480} is an apocalyptic number.

1071854340480 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 1071854340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346434438400).

1071854340480 is an abundant number, since it is smaller than the sum of its proper divisors (3621014536320).

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

1071854340480 is a wasteful number, since it uses less digits than its factorization.

1071854340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41063 (or 41048 counting only the distinct ones).

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

The spelling of 1071854340480 in words is "one trillion, seventy-one billion, eight hundred fifty-four million, three hundred forty thousand, four hundred eighty".