1353776440 has 16 divisors (see below), whose sum is σ = 3045997080. Its totient is φ = 541510560.

The previous prime is 1353776423. The next prime is 1353776443. The reversal of 1353776440 is 446773531.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 33844411 = 1353776440 / (1 + 3 + 5 + 3 + 7 + 7 + 6 + 4 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1353776393 and 1353776402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353776443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16922166 + ... + 16922245.

Almost surely, 2^1353776440 is an apocalyptic number.

1353776440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353776440 is an abundant number, since it is smaller than the sum of its proper divisors (1692220640).

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

1353776440 is a wasteful number, since it uses less digits than its factorization.

1353776440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33844422 (or 33844418 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The square root of 1353776440 is about 36793.7010913553. The cubic root of 1353776440 is about 1106.2390474620.

The spelling of 1353776440 in words is "one billion, three hundred fifty-three million, seven hundred seventy-six thousand, four hundred forty".