11631928440 has 256 divisors, whose sum is σ = 40413427200. Its totient is φ = 2670750720.

The previous prime is 11631928439. The next prime is 11631928447. The reversal of 11631928440 is 4482913611.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631928447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3032764 + ... + 3036596.

It is an arithmetic number, because the mean of its divisors is an integer number (157864950).

Almost surely, 2^11631928440 is an apocalyptic number.

11631928440 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 11631928440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20206713600).

11631928440 is an abundant number, since it is smaller than the sum of its proper divisors (28781498760).

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

11631928440 is a wasteful number, since it uses less digits than its factorization.

11631928440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 11631928440 in words is "eleven billion, six hundred thirty-one million, nine hundred twenty-eight thousand, four hundred forty".