1353295440 has 480 divisors, whose sum is σ = 5515361280. Its totient is φ = 290820096.

The previous prime is 1353295439. The next prime is 1353295457. The reversal of 1353295440 is 445923531.

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 = 1353295395 and 1353295404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6869422 + ... + 6869618.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2^1353295440 is an apocalyptic number.

1353295440 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 1353295440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757680640).

1353295440 is an abundant number, since it is smaller than the sum of its proper divisors (4162065840).

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

1353295440 is a wasteful number, since it uses less digits than its factorization.

1353295440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1353295440 is about 36787.1640657445. The cubic root of 1353295440 is about 1106.1080154842.

The spelling of 1353295440 in words is "one billion, three hundred fifty-three million, two hundred ninety-five thousand, four hundred forty".