1052309316240 has 1600 divisors, whose sum is σ = 4706114789376. Its totient is φ = 212007849984.

The previous prime is 1052309316211. The next prime is 1052309316259. The reversal of 1052309316240 is 426139032501.

1052309316240 is a `hidden beast` number, since 1 + 0 + 5 + 23 + 0 + 9 + 3 + 1 + 624 + 0 = 666.

It is a super-2 number, since 2×1052309316240² (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 = 1052309316195 and 1052309316204.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1191742839 + ... + 1191743721.

Almost surely, 2^{1052309316240} is an apocalyptic number.

1052309316240 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 1052309316240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353057394688).

1052309316240 is an abundant number, since it is smaller than the sum of its proper divisors (3653805473136).

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

1052309316240 is a wasteful number, since it uses less digits than its factorization.

1052309316240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1052309316240 in words is "one trillion, fifty-two billion, three hundred nine million, three hundred sixteen thousand, two hundred forty".