1201363440 has 80 divisors (see below), whose sum is σ = 3741093888. Its totient is φ = 318912768.

The previous prime is 1201363391. The next prime is 1201363441. The reversal of 1201363440 is 443631021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1201363440² = 2886548229937267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1201363440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201363441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42297 + ... + 64743.

Almost surely, 2^1201363440 is an apocalyptic number.

1201363440 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 1201363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870546944).

1201363440 is an abundant number, since it is smaller than the sum of its proper divisors (2539730448).

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

1201363440 is a wasteful number, since it uses less digits than its factorization.

1201363440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22686 (or 22680 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1201363440 is about 34660.6901258472. The cubic root of 1201363440 is about 1063.0608810742.

Adding to 1201363440 its reverse (443631021), we get a palindrome (1644994461).

The spelling of 1201363440 in words is "one billion, two hundred one million, three hundred sixty-three thousand, four hundred forty".