9045903709440 has 2304 divisors, whose sum is σ = 37383026688000. Its totient is φ = 2054134038528.

The previous prime is 9045903709439. The next prime is 9045903709457. The reversal of 9045903709440 is 449073095409.

9045903709440 is a `hidden beast` number, since 9 + 0 + 4 + 590 + 3 + 7 + 0 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×9045903709440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45456802461 + ... + 45456802659.

It is an arithmetic number, because the mean of its divisors is an integer number (16225272000).

Almost surely, 2^{9045903709440} is an apocalyptic number.

9045903709440 is a gapful number since it is divisible by the number (90) 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 9045903709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18691513344000).

9045903709440 is an abundant number, since it is smaller than the sum of its proper divisors (28337122978560).

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

9045903709440 is a wasteful number, since it uses less digits than its factorization.

9045903709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 9045903709440 in words is "nine trillion, forty-five billion, nine hundred three million, seven hundred nine thousand, four hundred forty".