1354535040 has 128 divisors (see below), whose sum is σ = 4423144320. Its totient is φ = 352378880.

The previous prime is 1354535033. The next prime is 1354535057. The reversal of 1354535040 is 405354531.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 1354534989 and 1354535007.

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, 70117 + ... + 87323.

It is an arithmetic number, because the mean of its divisors is an integer number (34555815).

Almost surely, 2^1354535040 is an apocalyptic number.

1354535040 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 1354535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211572160).

1354535040 is an abundant number, since it is smaller than the sum of its proper divisors (3068609280).

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

1354535040 is a wasteful number, since it uses less digits than its factorization.

1354535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17270 (or 17258 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 1354535040 is about 36804.0084773384. The cubic root of 1354535040 is about 1106.4456389926.

Adding to 1354535040 its reverse (405354531), we get a palindrome (1759889571).

The spelling of 1354535040 in words is "one billion, three hundred fifty-four million, five hundred thirty-five thousand, forty".