1352413040 has 80 divisors (see below), whose sum is σ = 3441315456. Its totient is φ = 490195200.

The previous prime is 1352413033. The next prime is 1352413063. The reversal of 1352413040 is 403142531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1352412997 and 1352413015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288959 + ... + 293601.

Almost surely, 2^1352413040 is an apocalyptic number.

1352413040 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 1352413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720657728).

1352413040 is an abundant number, since it is smaller than the sum of its proper divisors (2088902416).

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

1352413040 is a wasteful number, since it uses less digits than its factorization.

1352413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1352413040 is about 36775.1687963495. The cubic root of 1352413040 is about 1105.8675550750.

Adding to 1352413040 its reverse (403142531), we get a palindrome (1755555571).

The spelling of 1352413040 in words is "one billion, three hundred fifty-two million, four hundred thirteen thousand, forty".