11622589440 has 704 divisors, whose sum is σ = 47992946688. Its totient is φ = 2329804800.

The previous prime is 11622589423. The next prime is 11622589499. The reversal of 11622589440 is 4498522611.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11622589392 and 11622589401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36664162 + ... + 36664478.

Almost surely, 2^11622589440 is an apocalyptic number.

11622589440 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 11622589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23996473344).

11622589440 is an abundant number, since it is smaller than the sum of its proper divisors (36370357248).

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

11622589440 is a wasteful number, since it uses less digits than its factorization.

11622589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 11622589440 in words is "eleven billion, six hundred twenty-two million, five hundred eighty-nine thousand, four hundred forty".