11142109440 has 1152 divisors, whose sum is σ = 50861260800. Its totient is φ = 2242805760.

The previous prime is 11142109423. The next prime is 11142109453. The reversal of 11142109440 is 4490124111.

11142109440 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 210 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×11142109440² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141039321 + ... + 141039399.

It is an arithmetic number, because the mean of its divisors is an integer number (44150400).

Almost surely, 2^11142109440 is an apocalyptic number.

11142109440 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 11142109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25430630400).

11142109440 is an abundant number, since it is smaller than the sum of its proper divisors (39719151360).

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

11142109440 is a wasteful number, since it uses less digits than its factorization.

11142109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11142109440 in words is "eleven billion, one hundred forty-two million, one hundred nine thousand, four hundred forty".