1361024496 has 240 divisors, whose sum is σ = 4333056000. Its totient is φ = 395850240.

The previous prime is 1361024459. The next prime is 1361024503. The reversal of 1361024496 is 6944201631.

1361024496 is a `hidden beast` number, since 13 + 610 + 24 + 4 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1361024496.

It is a congruent number.

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, 2727255 + ... + 2727753.

It is an arithmetic number, because the mean of its divisors is an integer number (18054400).

Almost surely, 2^1361024496 is an apocalyptic number.

1361024496 is a gapful number since it is divisible by the number (16) 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 1361024496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166528000).

1361024496 is an abundant number, since it is smaller than the sum of its proper divisors (2972031504).

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

1361024496 is a wasteful number, since it uses less digits than its factorization.

1361024496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1361024496 is about 36892.0654883947. The cubic root of 1361024496 is about 1108.2097853327.

The spelling of 1361024496 in words is "one billion, three hundred sixty-one million, twenty-four thousand, four hundred ninety-six".