11436215040 has 360 divisors, whose sum is σ = 41508881568. Its totient is φ = 3005890560.

The previous prime is 11436215023. The next prime is 11436215051. The reversal of 11436215040 is 4051263411.

It is a happy number.

11436215040 is a `hidden beast` number, since 11 + 436 + 215 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×11436215040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11436214995 and 11436215013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7567885 + ... + 7569395.

Almost surely, 2^11436215040 is an apocalyptic number.

11436215040 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 11436215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20754440784).

11436215040 is an abundant number, since it is smaller than the sum of its proper divisors (30072666528).

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

11436215040 is an equidigital number, since it uses as much as digits as its factorization.

11436215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11436215040 its reverse (4051263411), we get a palindrome (15487478451).

The spelling of 11436215040 in words is "eleven billion, four hundred thirty-six million, two hundred fifteen thousand, forty".