1016507802240 has 576 divisors, whose sum is σ = 4165775602560. Its totient is φ = 232337922048.

The previous prime is 1016507802209. The next prime is 1016507802253. The reversal of 1016507802240 is 422087056101.

1016507802240 is a `hidden beast` number, since 1 + 0 + 16 + 507 + 80 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1016507802240² (a number of 25 digits) contains 22 as substring.

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 = 1016507802195 and 1016507802204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29375989 + ... + 29410571.

It is an arithmetic number, because the mean of its divisors is an integer number (7232249310).

Almost surely, 2^{1016507802240} is an apocalyptic number.

1016507802240 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 1016507802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082887801280).

1016507802240 is an abundant number, since it is smaller than the sum of its proper divisors (3149267800320).

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

1016507802240 is an frugal number, since it uses more digits than its factorization.

1016507802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34633 (or 34600 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1016507802240 in words is "one trillion, sixteen billion, five hundred seven million, eight hundred two thousand, two hundred forty".