1016920535040 has 416 divisors, whose sum is σ = 3622335417600. Its totient is φ = 270649589760.

The previous prime is 1016920534997. The next prime is 1016920535077. The reversal of 1016920535040 is 405350296101.

1016920535040 is a `hidden beast` number, since 1 + 0 + 1 + 69 + 20 + 535 + 0 + 40 = 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 = 1016920534986 and 1016920535004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342280755 + ... + 342283725.

Almost surely, 2^{1016920535040} is an apocalyptic number.

1016920535040 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 1016920535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811167708800).

1016920535040 is an abundant number, since it is smaller than the sum of its proper divisors (2605414882560).

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

1016920535040 is an equidigital number, since it uses as much as digits as its factorization.

1016920535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1016920535040 in words is "one trillion, sixteen billion, nine hundred twenty million, five hundred thirty-five thousand, forty".