1038499043040 has 480 divisors, whose sum is σ = 3749037747840. Its totient is φ = 270605131776.

The previous prime is 1038499043027. The next prime is 1038499043059. The reversal of 1038499043040 is 403409948301.

It is a happy number.

1038499043040 is a `hidden beast` number, since 10 + 3 + 84 + 9 + 90 + 430 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 580490466 + ... + 580492254.

It is an arithmetic number, because the mean of its divisors is an integer number (7810495308).

Almost surely, 2^{1038499043040} is an apocalyptic number.

1038499043040 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 1038499043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874518873920).

1038499043040 is an abundant number, since it is smaller than the sum of its proper divisors (2710538704800).

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

1038499043040 is a wasteful number, since it uses less digits than its factorization.

1038499043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1038499043040 in words is "one trillion, thirty-eight billion, four hundred ninety-nine million, forty-three thousand, forty".