1355301640 has 192 divisors, whose sum is σ = 3876364800. Its totient is φ = 417415680.

The previous prime is 1355301587. The next prime is 1355301653. The reversal of 1355301640 is 461035531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1355301599 and 1355301608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3692737 + ... + 3693103.

It is an arithmetic number, because the mean of its divisors is an integer number (20189400).

Almost surely, 2^1355301640 is an apocalyptic number.

1355301640 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 1355301640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938182400).

1355301640 is an abundant number, since it is smaller than the sum of its proper divisors (2521063160).

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

1355301640 is a wasteful number, since it uses less digits than its factorization.

1355301640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 1355301640 is about 36814.4216306599. The cubic root of 1355301640 is about 1106.6543308410.

The spelling of 1355301640 in words is "one billion, three hundred fifty-five million, three hundred one thousand, six hundred forty".