1038052445040 has 480 divisors, whose sum is σ = 3812420364480. Its totient is φ = 253091284992.

The previous prime is 1038052445029. The next prime is 1038052445063. The reversal of 1038052445040 is 405442508301.

It is a happy number.

1038052445040 is a `hidden beast` number, since 1 + 0 + 3 + 80 + 524 + 4 + 50 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1038052444986 and 1038052445004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169253814 + ... + 169259946.

It is an arithmetic number, because the mean of its divisors is an integer number (7942542426).

Almost surely, 2^{1038052445040} is an apocalyptic number.

1038052445040 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 1038052445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906210182240).

1038052445040 is an abundant number, since it is smaller than the sum of its proper divisors (2774367919440).

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

1038052445040 is a wasteful number, since it uses less digits than its factorization.

1038052445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 1038052445040 in words is "one trillion, thirty-eight billion, fifty-two million, four hundred forty-five thousand, forty".