1359973440 has 504 divisors, whose sum is σ = 5691591360. Its totient is φ = 296626176.

The previous prime is 1359973409. The next prime is 1359973453. The reversal of 1359973440 is 443799531.

1359973440 is a `hidden beast` number, since 13 + 599 + 7 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3245551 + ... + 3245969.

It is an arithmetic number, because the mean of its divisors is an integer number (11292840).

Almost surely, 2^1359973440 is an apocalyptic number.

1359973440 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 1359973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845795680).

1359973440 is an abundant number, since it is smaller than the sum of its proper divisors (4331617920).

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

1359973440 is a wasteful number, since it uses less digits than its factorization.

1359973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1359973440 is about 36877.8177228534. The cubic root of 1359973440 is about 1107.9244388861.

The spelling of 1359973440 in words is "one billion, three hundred fifty-nine million, nine hundred seventy-three thousand, four hundred forty".