1356477540 has 192 divisors, whose sum is σ = 4313530368. Its totient is φ = 315532800.

The previous prime is 1356477457. The next prime is 1356477541. The reversal of 1356477540 is 457746531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1356477492 and 1356477501.

It is not an unprimeable number, because it can be changed into a prime (1356477541) 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 63 ways as a sum of consecutive naturals, for example, 3416622 + ... + 3417018.

It is an arithmetic number, because the mean of its divisors is an integer number (22466304).

Almost surely, 2^1356477540 is an apocalyptic number.

1356477540 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 1356477540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156765184).

1356477540 is an abundant number, since it is smaller than the sum of its proper divisors (2957052828).

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

1356477540 is a wasteful number, since it uses less digits than its factorization.

1356477540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 1356477540 is about 36830.3888114150. The cubic root of 1356477540 is about 1106.9742937229.

The spelling of 1356477540 in words is "one billion, three hundred fifty-six million, four hundred seventy-seven thousand, five hundred forty".