1016013563040 has 384 divisors, whose sum is σ = 3678606876672. Its totient is φ = 230905221120.

The previous prime is 1016013563027. The next prime is 1016013563057. The reversal of 1016013563040 is 403653106101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1016013562989 and 1016013563007.

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, 525613914 + ... + 525615846.

It is an arithmetic number, because the mean of its divisors is an integer number (9579705408).

Almost surely, 2^{1016013563040} is an apocalyptic number.

1016013563040 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 1016013563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839303438336).

1016013563040 is an abundant number, since it is smaller than the sum of its proper divisors (2662593313632).

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

1016013563040 is a wasteful number, since it uses less digits than its factorization.

1016013563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 1016013563040 its reverse (403653106101), we get a palindrome (1419666669141).

The spelling of 1016013563040 in words is "one trillion, sixteen billion, thirteen million, five hundred sixty-three thousand, forty".