11951470440 has 864 divisors, whose sum is σ = 51746104800. Its totient is φ = 2377589760.

The previous prime is 11951470411. The next prime is 11951470451. The reversal of 11951470440 is 4407415911.

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

It is a junction number, because it is equal to n+sod(n) for n = 11951470395 and 11951470404.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 56641935 + ... + 56642145.

It is an arithmetic number, because the mean of its divisors is an integer number (59891325).

Almost surely, 2^11951470440 is an apocalyptic number.

11951470440 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 11951470440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25873052400).

11951470440 is an abundant number, since it is smaller than the sum of its proper divisors (39794634360).

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

11951470440 is a wasteful number, since it uses less digits than its factorization.

11951470440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11951470440 in words is "eleven billion, nine hundred fifty-one million, four hundred seventy thousand, four hundred forty".