1045356313040 has 320 divisors, whose sum is σ = 2803257580032. Its totient is φ = 359492812800.

The previous prime is 1045356313037. The next prime is 1045356313051. The reversal of 1045356313040 is 403136535401.

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, 958162895 + ... + 958163985.

Almost surely, 2^{1045356313040} is an apocalyptic number.

1045356313040 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 1045356313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401628790016).

1045356313040 is an abundant number, since it is smaller than the sum of its proper divisors (1757901266992).

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

1045356313040 is a wasteful number, since it uses less digits than its factorization.

1045356313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 1045356313040 in words is "one trillion, forty-five billion, three hundred fifty-six million, three hundred thirteen thousand, forty".