11436736740 has 384 divisors, whose sum is σ = 40327580160. Its totient is φ = 2378956800.

The previous prime is 11436736673. The next prime is 11436736777. The reversal of 11436736740 is 4763763411.

It is a junction number, because it is equal to n+sod(n) for n = 11436736692 and 11436736701.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12981100 + ... + 12981980.

It is an arithmetic number, because the mean of its divisors is an integer number (105019740).

Almost surely, 2^11436736740 is an apocalyptic number.

11436736740 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 11436736740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20163790080).

11436736740 is an abundant number, since it is smaller than the sum of its proper divisors (28890843420).

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

11436736740 is a wasteful number, since it uses less digits than its factorization.

11436736740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 11436736740 in words is "eleven billion, four hundred thirty-six million, seven hundred thirty-six thousand, seven hundred forty".