1349154040 has 96 divisors (see below), whose sum is σ = 3319034400. Its totient is φ = 493309440.

The previous prime is 1349153989. The next prime is 1349154041. The reversal of 1349154040 is 404519431.

It is a junction number, because it is equal to n+sod(n) for n = 1349153993 and 1349154011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349154041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735925 + ... + 737755.

It is an arithmetic number, because the mean of its divisors is an integer number (34573275).

Almost surely, 2^1349154040 is an apocalyptic number.

1349154040 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 1349154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659517200).

1349154040 is an abundant number, since it is smaller than the sum of its proper divisors (1969880360).

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

1349154040 is a wasteful number, since it uses less digits than its factorization.

1349154040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1349154040 is about 36730.8322802520. The cubic root of 1349154040 is about 1104.9785462963.

The spelling of 1349154040 in words is "one billion, three hundred forty-nine million, one hundred fifty-four thousand, forty".