1355466640 has 160 divisors (see below), whose sum is σ = 3560236416. Its totient is φ = 475668480.

The previous prime is 1355466589. The next prime is 1355466643. The reversal of 1355466640 is 466645531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1355466593 and 1355466602.

It is not an unprimeable number, because it can be changed into a prime (1355466643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4275762 + ... + 4276078.

Almost surely, 2^1355466640 is an apocalyptic number.

1355466640 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 1355466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780118208).

1355466640 is an abundant number, since it is smaller than the sum of its proper divisors (2204769776).

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

1355466640 is a wasteful number, since it uses less digits than its factorization.

1355466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 1355466640 is about 36816.6625320656. The cubic root of 1355466640 is about 1106.6992385697.

The spelling of 1355466640 in words is "one billion, three hundred fifty-five million, four hundred sixty-six thousand, six hundred forty".