11442161640 has 256 divisors, whose sum is σ = 42640012800. Its totient is φ = 2391773184.

The previous prime is 11442161623. The next prime is 11442161663. The reversal of 11442161640 is 4616124411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11442161598 and 11442161607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1185474 + ... + 1195086.

It is an arithmetic number, because the mean of its divisors is an integer number (166562550).

Almost surely, 2^11442161640 is an apocalyptic number.

11442161640 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 11442161640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21320006400).

11442161640 is an abundant number, since it is smaller than the sum of its proper divisors (31197851160).

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

11442161640 is a wasteful number, since it uses less digits than its factorization.

11442161640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9752 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 11442161640 in words is "eleven billion, four hundred forty-two million, one hundred sixty-one thousand, six hundred forty".