1045159465440 has 384 divisors, whose sum is σ = 3475683509760. Its totient is φ = 263659511808.

The previous prime is 1045159465387. The next prime is 1045159465453. The reversal of 1045159465440 is 445649515401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1045159465440.

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, 173352346 + ... + 173358374.

It is an arithmetic number, because the mean of its divisors is an integer number (9051259140).

Almost surely, 2^{1045159465440} is an apocalyptic number.

1045159465440 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 1045159465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737841754880).

1045159465440 is an abundant number, since it is smaller than the sum of its proper divisors (2430524044320).

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

1045159465440 is a wasteful number, since it uses less digits than its factorization.

1045159465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 1045159465440 in words is "one trillion, forty-five billion, one hundred fifty-nine million, four hundred sixty-five thousand, four hundred forty".