1008226914240 has 448 divisors, whose sum is σ = 3942319288320. Its totient is φ = 212591001600.

The previous prime is 1008226914223. The next prime is 1008226914269. The reversal of 1008226914240 is 424196228001.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 205380906 + ... + 205385814.

It is an arithmetic number, because the mean of its divisors is an integer number (8799819840).

Almost surely, 2^{1008226914240} is an apocalyptic number.

1008226914240 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 1008226914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971159644160).

1008226914240 is an abundant number, since it is smaller than the sum of its proper divisors (2934092374080).

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

1008226914240 is a wasteful number, since it uses less digits than its factorization.

1008226914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 1008226914240 in words is "one trillion, eight billion, two hundred twenty-six million, nine hundred fourteen thousand, two hundred forty".