1024891097472 has 640 divisors, whose sum is σ = 3549341980800. Its totient is φ = 290124840960.

The previous prime is 1024891097437. The next prime is 1024891097479. The reversal of 1024891097472 is 2747901984201.

1024891097472 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 89 + 1 + 0 + 97 + 472 = 666.

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 (1024891097479) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 269493523 + ... + 269497325.

It is an arithmetic number, because the mean of its divisors is an integer number (5545846845).

Almost surely, 2^{1024891097472} is an apocalyptic number.

1024891097472 is a gapful number since it is divisible by the number (12) 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 1024891097472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774670990400).

1024891097472 is an abundant number, since it is smaller than the sum of its proper divisors (2524450883328).

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

1024891097472 is a wasteful number, since it uses less digits than its factorization.

1024891097472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1024891097472 in words is "one trillion, twenty-four billion, eight hundred ninety-one million, ninety-seven thousand, four hundred seventy-two".