1074090514224 has 1440 divisors, whose sum is σ = 3928112584704. Its totient is φ = 250195599360.

The previous prime is 1074090514213. The next prime is 1074090514241. The reversal of 1074090514224 is 4224150904701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14713568652 + ... + 14713568724.

Almost surely, 2^{1074090514224} is an apocalyptic number.

1074090514224 is a gapful number since it is divisible by the number (14) 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 1074090514224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964056292352).

1074090514224 is an abundant number, since it is smaller than the sum of its proper divisors (2854022070480).

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

1074090514224 is a wasteful number, since it uses less digits than its factorization.

1074090514224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 1074090514224 in words is "one trillion, seventy-four billion, ninety million, five hundred fourteen thousand, two hundred twenty-four".