1348880040 has 160 divisors (see below), whose sum is σ = 4549754880. Its totient is φ = 358432128.

The previous prime is 1348880003. The next prime is 1348880059. The reversal of 1348880040 is 400888431.

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 = 1348879977 and 1348880004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1240377 + ... + 1241463.

It is an arithmetic number, because the mean of its divisors is an integer number (28435968).

Almost surely, 2^1348880040 is an apocalyptic number.

1348880040 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 1348880040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274877440).

1348880040 is an abundant number, since it is smaller than the sum of its proper divisors (3200874840).

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

1348880040 is a wasteful number, since it uses less digits than its factorization.

1348880040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1348880040 is about 36727.1022543298. The cubic root of 1348880040 is about 1104.9037377839.

It can be divided in two parts, 13488 and 80040, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 1348880040 in words is "one billion, three hundred forty-eight million, eight hundred eighty thousand, forty".