1045605949440 has 896 divisors, whose sum is σ = 3856364225280. Its totient is φ = 239628976128.

The previous prime is 1045605949417. The next prime is 1045605949441. The reversal of 1045605949440 is 449495065401.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1045605949441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3774750582 + ... + 3774750858.

It is an arithmetic number, because the mean of its divisors is an integer number (4303977930).

Almost surely, 2^{1045605949440} is an apocalyptic number.

1045605949440 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 1045605949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928182112640).

1045605949440 is an abundant number, since it is smaller than the sum of its proper divisors (2810758275840).

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

1045605949440 is a wasteful number, since it uses less digits than its factorization.

1045605949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 1045605949440 in words is "one trillion, forty-five billion, six hundred five million, nine hundred forty-nine thousand, four hundred forty".